1,1,38,0,0.505421," ","integrate(csch(b*x+a),x, algorithm=""fricas"")","-\frac{\log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) - \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right)}{b}"," ",0,"-(log(cosh(b*x + a) + sinh(b*x + a) + 1) - log(cosh(b*x + a) + sinh(b*x + a) - 1))/b","B",0
2,1,43,0,0.644371," ","integrate(csch(b*x+a)^2,x, algorithm=""fricas"")","-\frac{2}{b \cosh\left(b x + a\right)^{2} + 2 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right) + b \sinh\left(b x + a\right)^{2} - b}"," ",0,"-2/(b*cosh(b*x + a)^2 + 2*b*cosh(b*x + a)*sinh(b*x + a) + b*sinh(b*x + a)^2 - b)","B",0
3,1,387,0,0.585334," ","integrate(csch(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, \cosh\left(b x + a\right)^{3} + 6 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{2} + 2 \, \sinh\left(b x + a\right)^{3} - {\left(\cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} + 2 \, {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + {\left(\cosh\left(b x + a\right)^{4} + 4 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + \sinh\left(b x + a\right)^{4} + 2 \, {\left(3 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 2 \, \cosh\left(b x + a\right)^{2} + 4 \, {\left(\cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 2 \, {\left(3 \, \cosh\left(b x + a\right)^{2} + 1\right)} \sinh\left(b x + a\right) + 2 \, \cosh\left(b x + a\right)}{2 \, {\left(b \cosh\left(b x + a\right)^{4} + 4 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{3} + b \sinh\left(b x + a\right)^{4} - 2 \, b \cosh\left(b x + a\right)^{2} + 2 \, {\left(3 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 4 \, {\left(b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b\right)}}"," ",0,"-1/2*(2*cosh(b*x + a)^3 + 6*cosh(b*x + a)*sinh(b*x + a)^2 + 2*sinh(b*x + a)^3 - (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + (cosh(b*x + a)^4 + 4*cosh(b*x + a)*sinh(b*x + a)^3 + sinh(b*x + a)^4 + 2*(3*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 2*cosh(b*x + a)^2 + 4*(cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 2*(3*cosh(b*x + a)^2 + 1)*sinh(b*x + a) + 2*cosh(b*x + a))/(b*cosh(b*x + a)^4 + 4*b*cosh(b*x + a)*sinh(b*x + a)^3 + b*sinh(b*x + a)^4 - 2*b*cosh(b*x + a)^2 + 2*(3*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 4*(b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
4,1,164,0,0.570091," ","integrate(csch(b*x+a)^4,x, algorithm=""fricas"")","-\frac{8 \, {\left(\cosh\left(b x + a\right) + 2 \, \sinh\left(b x + a\right)\right)}}{3 \, {\left(b \cosh\left(b x + a\right)^{5} + 5 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{4} + b \sinh\left(b x + a\right)^{5} - 3 \, b \cosh\left(b x + a\right)^{3} + {\left(10 \, b \cosh\left(b x + a\right)^{2} - 3 \, b\right)} \sinh\left(b x + a\right)^{3} + {\left(10 \, b \cosh\left(b x + a\right)^{3} - 9 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} + 2 \, b \cosh\left(b x + a\right) + {\left(5 \, b \cosh\left(b x + a\right)^{4} - 9 \, b \cosh\left(b x + a\right)^{2} + 4 \, b\right)} \sinh\left(b x + a\right)\right)}}"," ",0,"-8/3*(cosh(b*x + a) + 2*sinh(b*x + a))/(b*cosh(b*x + a)^5 + 5*b*cosh(b*x + a)*sinh(b*x + a)^4 + b*sinh(b*x + a)^5 - 3*b*cosh(b*x + a)^3 + (10*b*cosh(b*x + a)^2 - 3*b)*sinh(b*x + a)^3 + (10*b*cosh(b*x + a)^3 - 9*b*cosh(b*x + a))*sinh(b*x + a)^2 + 2*b*cosh(b*x + a) + (5*b*cosh(b*x + a)^4 - 9*b*cosh(b*x + a)^2 + 4*b)*sinh(b*x + a))","B",0
5,1,1114,0,0.622499," ","integrate(csch(b*x+a)^5,x, algorithm=""fricas"")","\frac{6 \, \cosh\left(b x + a\right)^{7} + 42 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{6} + 6 \, \sinh\left(b x + a\right)^{7} + 2 \, {\left(63 \, \cosh\left(b x + a\right)^{2} - 11\right)} \sinh\left(b x + a\right)^{5} - 22 \, \cosh\left(b x + a\right)^{5} + 10 \, {\left(21 \, \cosh\left(b x + a\right)^{3} - 11 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{4} + 2 \, {\left(105 \, \cosh\left(b x + a\right)^{4} - 110 \, \cosh\left(b x + a\right)^{2} - 11\right)} \sinh\left(b x + a\right)^{3} - 22 \, \cosh\left(b x + a\right)^{3} + 2 \, {\left(63 \, \cosh\left(b x + a\right)^{5} - 110 \, \cosh\left(b x + a\right)^{3} - 33 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{2} - 3 \, {\left(\cosh\left(b x + a\right)^{8} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{6} - 4 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 30 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - 10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 15 \, \cosh\left(b x + a\right)^{4} + 9 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 4 \, \cosh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - 3 \, \cosh\left(b x + a\right)^{5} + 3 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) + 1\right) + 3 \, {\left(\cosh\left(b x + a\right)^{8} + 8 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + \sinh\left(b x + a\right)^{8} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{6} - 4 \, \cosh\left(b x + a\right)^{6} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{3} - 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 2 \, {\left(35 \, \cosh\left(b x + a\right)^{4} - 30 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right)^{4} + 6 \, \cosh\left(b x + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b x + a\right)^{5} - 10 \, \cosh\left(b x + a\right)^{3} + 3 \, \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b x + a\right)^{6} - 15 \, \cosh\left(b x + a\right)^{4} + 9 \, \cosh\left(b x + a\right)^{2} - 1\right)} \sinh\left(b x + a\right)^{2} - 4 \, \cosh\left(b x + a\right)^{2} + 8 \, {\left(\cosh\left(b x + a\right)^{7} - 3 \, \cosh\left(b x + a\right)^{5} + 3 \, \cosh\left(b x + a\right)^{3} - \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 1\right)} \log\left(\cosh\left(b x + a\right) + \sinh\left(b x + a\right) - 1\right) + 2 \, {\left(21 \, \cosh\left(b x + a\right)^{6} - 55 \, \cosh\left(b x + a\right)^{4} - 33 \, \cosh\left(b x + a\right)^{2} + 3\right)} \sinh\left(b x + a\right) + 6 \, \cosh\left(b x + a\right)}{8 \, {\left(b \cosh\left(b x + a\right)^{8} + 8 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b \sinh\left(b x + a\right)^{8} - 4 \, b \cosh\left(b x + a\right)^{6} + 4 \, {\left(7 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{6} + 8 \, {\left(7 \, b \cosh\left(b x + a\right)^{3} - 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 6 \, b \cosh\left(b x + a\right)^{4} + 2 \, {\left(35 \, b \cosh\left(b x + a\right)^{4} - 30 \, b \cosh\left(b x + a\right)^{2} + 3 \, b\right)} \sinh\left(b x + a\right)^{4} + 8 \, {\left(7 \, b \cosh\left(b x + a\right)^{5} - 10 \, b \cosh\left(b x + a\right)^{3} + 3 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - 4 \, b \cosh\left(b x + a\right)^{2} + 4 \, {\left(7 \, b \cosh\left(b x + a\right)^{6} - 15 \, b \cosh\left(b x + a\right)^{4} + 9 \, b \cosh\left(b x + a\right)^{2} - b\right)} \sinh\left(b x + a\right)^{2} + 8 \, {\left(b \cosh\left(b x + a\right)^{7} - 3 \, b \cosh\left(b x + a\right)^{5} + 3 \, b \cosh\left(b x + a\right)^{3} - b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + b\right)}}"," ",0,"1/8*(6*cosh(b*x + a)^7 + 42*cosh(b*x + a)*sinh(b*x + a)^6 + 6*sinh(b*x + a)^7 + 2*(63*cosh(b*x + a)^2 - 11)*sinh(b*x + a)^5 - 22*cosh(b*x + a)^5 + 10*(21*cosh(b*x + a)^3 - 11*cosh(b*x + a))*sinh(b*x + a)^4 + 2*(105*cosh(b*x + a)^4 - 110*cosh(b*x + a)^2 - 11)*sinh(b*x + a)^3 - 22*cosh(b*x + a)^3 + 2*(63*cosh(b*x + a)^5 - 110*cosh(b*x + a)^3 - 33*cosh(b*x + a))*sinh(b*x + a)^2 - 3*(cosh(b*x + a)^8 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 4*(7*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^6 - 4*cosh(b*x + a)^6 + 8*(7*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(35*cosh(b*x + a)^4 - 30*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^4 + 6*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - 10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 15*cosh(b*x + a)^4 + 9*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 4*cosh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - 3*cosh(b*x + a)^5 + 3*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) + 1) + 3*(cosh(b*x + a)^8 + 8*cosh(b*x + a)*sinh(b*x + a)^7 + sinh(b*x + a)^8 + 4*(7*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^6 - 4*cosh(b*x + a)^6 + 8*(7*cosh(b*x + a)^3 - 3*cosh(b*x + a))*sinh(b*x + a)^5 + 2*(35*cosh(b*x + a)^4 - 30*cosh(b*x + a)^2 + 3)*sinh(b*x + a)^4 + 6*cosh(b*x + a)^4 + 8*(7*cosh(b*x + a)^5 - 10*cosh(b*x + a)^3 + 3*cosh(b*x + a))*sinh(b*x + a)^3 + 4*(7*cosh(b*x + a)^6 - 15*cosh(b*x + a)^4 + 9*cosh(b*x + a)^2 - 1)*sinh(b*x + a)^2 - 4*cosh(b*x + a)^2 + 8*(cosh(b*x + a)^7 - 3*cosh(b*x + a)^5 + 3*cosh(b*x + a)^3 - cosh(b*x + a))*sinh(b*x + a) + 1)*log(cosh(b*x + a) + sinh(b*x + a) - 1) + 2*(21*cosh(b*x + a)^6 - 55*cosh(b*x + a)^4 - 33*cosh(b*x + a)^2 + 3)*sinh(b*x + a) + 6*cosh(b*x + a))/(b*cosh(b*x + a)^8 + 8*b*cosh(b*x + a)*sinh(b*x + a)^7 + b*sinh(b*x + a)^8 - 4*b*cosh(b*x + a)^6 + 4*(7*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^6 + 8*(7*b*cosh(b*x + a)^3 - 3*b*cosh(b*x + a))*sinh(b*x + a)^5 + 6*b*cosh(b*x + a)^4 + 2*(35*b*cosh(b*x + a)^4 - 30*b*cosh(b*x + a)^2 + 3*b)*sinh(b*x + a)^4 + 8*(7*b*cosh(b*x + a)^5 - 10*b*cosh(b*x + a)^3 + 3*b*cosh(b*x + a))*sinh(b*x + a)^3 - 4*b*cosh(b*x + a)^2 + 4*(7*b*cosh(b*x + a)^6 - 15*b*cosh(b*x + a)^4 + 9*b*cosh(b*x + a)^2 - b)*sinh(b*x + a)^2 + 8*(b*cosh(b*x + a)^7 - 3*b*cosh(b*x + a)^5 + 3*b*cosh(b*x + a)^3 - b*cosh(b*x + a))*sinh(b*x + a) + b)","B",0
6,1,344,0,1.200079," ","integrate(csch(b*x+a)^6,x, algorithm=""fricas"")","-\frac{16 \, {\left(11 \, \cosh\left(b x + a\right)^{2} + 18 \, \cosh\left(b x + a\right) \sinh\left(b x + a\right) + 11 \, \sinh\left(b x + a\right)^{2} - 5\right)}}{15 \, {\left(b \cosh\left(b x + a\right)^{8} + 8 \, b \cosh\left(b x + a\right) \sinh\left(b x + a\right)^{7} + b \sinh\left(b x + a\right)^{8} - 5 \, b \cosh\left(b x + a\right)^{6} + {\left(28 \, b \cosh\left(b x + a\right)^{2} - 5 \, b\right)} \sinh\left(b x + a\right)^{6} + 2 \, {\left(28 \, b \cosh\left(b x + a\right)^{3} - 15 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{5} + 10 \, b \cosh\left(b x + a\right)^{4} + 5 \, {\left(14 \, b \cosh\left(b x + a\right)^{4} - 15 \, b \cosh\left(b x + a\right)^{2} + 2 \, b\right)} \sinh\left(b x + a\right)^{4} + 4 \, {\left(14 \, b \cosh\left(b x + a\right)^{5} - 25 \, b \cosh\left(b x + a\right)^{3} + 10 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right)^{3} - 11 \, b \cosh\left(b x + a\right)^{2} + {\left(28 \, b \cosh\left(b x + a\right)^{6} - 75 \, b \cosh\left(b x + a\right)^{4} + 60 \, b \cosh\left(b x + a\right)^{2} - 11 \, b\right)} \sinh\left(b x + a\right)^{2} + 2 \, {\left(4 \, b \cosh\left(b x + a\right)^{7} - 15 \, b \cosh\left(b x + a\right)^{5} + 20 \, b \cosh\left(b x + a\right)^{3} - 9 \, b \cosh\left(b x + a\right)\right)} \sinh\left(b x + a\right) + 5 \, b\right)}}"," ",0,"-16/15*(11*cosh(b*x + a)^2 + 18*cosh(b*x + a)*sinh(b*x + a) + 11*sinh(b*x + a)^2 - 5)/(b*cosh(b*x + a)^8 + 8*b*cosh(b*x + a)*sinh(b*x + a)^7 + b*sinh(b*x + a)^8 - 5*b*cosh(b*x + a)^6 + (28*b*cosh(b*x + a)^2 - 5*b)*sinh(b*x + a)^6 + 2*(28*b*cosh(b*x + a)^3 - 15*b*cosh(b*x + a))*sinh(b*x + a)^5 + 10*b*cosh(b*x + a)^4 + 5*(14*b*cosh(b*x + a)^4 - 15*b*cosh(b*x + a)^2 + 2*b)*sinh(b*x + a)^4 + 4*(14*b*cosh(b*x + a)^5 - 25*b*cosh(b*x + a)^3 + 10*b*cosh(b*x + a))*sinh(b*x + a)^3 - 11*b*cosh(b*x + a)^2 + (28*b*cosh(b*x + a)^6 - 75*b*cosh(b*x + a)^4 + 60*b*cosh(b*x + a)^2 - 11*b)*sinh(b*x + a)^2 + 2*(4*b*cosh(b*x + a)^7 - 15*b*cosh(b*x + a)^5 + 20*b*cosh(b*x + a)^3 - 9*b*cosh(b*x + a))*sinh(b*x + a) + 5*b)","B",0
7,0,0,0,0.521481," ","integrate(csch(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\operatorname{csch}\left(b x + a\right)^{\frac{5}{2}}, x\right)"," ",0,"integral(csch(b*x + a)^(5/2), x)","F",0
8,0,0,0,1.105020," ","integrate(csch(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\operatorname{csch}\left(b x + a\right)^{\frac{3}{2}}, x\right)"," ",0,"integral(csch(b*x + a)^(3/2), x)","F",0
9,0,0,0,1.093244," ","integrate(csch(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{\operatorname{csch}\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(csch(b*x + a)), x)","F",0
10,0,0,0,1.604374," ","integrate(1/csch(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sqrt{\operatorname{csch}\left(b x + a\right)}}, x\right)"," ",0,"integral(1/sqrt(csch(b*x + a)), x)","F",0
11,0,0,0,0.940944," ","integrate(1/csch(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\operatorname{csch}\left(b x + a\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral(csch(b*x + a)^(-3/2), x)","F",0
12,0,0,0,0.470148," ","integrate(1/csch(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\operatorname{csch}\left(b x + a\right)^{\frac{5}{2}}}, x\right)"," ",0,"integral(csch(b*x + a)^(-5/2), x)","F",0
13,0,0,0,0.565318," ","integrate((b*csch(d*x+c))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \operatorname{csch}\left(d x + c\right)} b^{3} \operatorname{csch}\left(d x + c\right)^{3}, x\right)"," ",0,"integral(sqrt(b*csch(d*x + c))*b^3*csch(d*x + c)^3, x)","F",0
14,0,0,0,0.934407," ","integrate((b*csch(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \operatorname{csch}\left(d x + c\right)} b^{2} \operatorname{csch}\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*csch(d*x + c))*b^2*csch(d*x + c)^2, x)","F",0
15,0,0,0,2.145148," ","integrate((b*csch(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \operatorname{csch}\left(d x + c\right)} b \operatorname{csch}\left(d x + c\right), x\right)"," ",0,"integral(sqrt(b*csch(d*x + c))*b*csch(d*x + c), x)","F",0
16,0,0,0,0.504608," ","integrate((b*csch(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \operatorname{csch}\left(d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*csch(d*x + c)), x)","F",0
17,0,0,0,1.400145," ","integrate(1/(b*csch(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \operatorname{csch}\left(d x + c\right)}}{b \operatorname{csch}\left(d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*csch(d*x + c))/(b*csch(d*x + c)), x)","F",0
18,0,0,0,0.612662," ","integrate(1/(b*csch(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \operatorname{csch}\left(d x + c\right)}}{b^{2} \operatorname{csch}\left(d x + c\right)^{2}}, x\right)"," ",0,"integral(sqrt(b*csch(d*x + c))/(b^2*csch(d*x + c)^2), x)","F",0
19,0,0,0,0.447405," ","integrate(1/(b*csch(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \operatorname{csch}\left(d x + c\right)}}{b^{3} \operatorname{csch}\left(d x + c\right)^{3}}, x\right)"," ",0,"integral(sqrt(b*csch(d*x + c))/(b^3*csch(d*x + c)^3), x)","F",0
20,0,0,0,0.591488," ","integrate(1/(b*csch(d*x+c))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \operatorname{csch}\left(d x + c\right)}}{b^{4} \operatorname{csch}\left(d x + c\right)^{4}}, x\right)"," ",0,"integral(sqrt(b*csch(d*x + c))/(b^4*csch(d*x + c)^4), x)","F",0
21,0,0,0,0.731343," ","integrate((b*csch(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \operatorname{csch}\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((b*csch(d*x + c))^n, x)","F",0
22,1,115,0,0.501765," ","integrate((-csch(x)^2)^(5/2),x, algorithm=""fricas"")","\frac{{\left(-3 i \, e^{\left(8 \, x\right)} + 12 i \, e^{\left(6 \, x\right)} - 18 i \, e^{\left(4 \, x\right)} + 12 i \, e^{\left(2 \, x\right)} - 3 i\right)} \log\left(e^{x} + 1\right) + {\left(3 i \, e^{\left(8 \, x\right)} - 12 i \, e^{\left(6 \, x\right)} + 18 i \, e^{\left(4 \, x\right)} - 12 i \, e^{\left(2 \, x\right)} + 3 i\right)} \log\left(e^{x} - 1\right) + 6 i \, e^{\left(7 \, x\right)} - 22 i \, e^{\left(5 \, x\right)} - 22 i \, e^{\left(3 \, x\right)} + 6 i \, e^{x}}{8 \, {\left(e^{\left(8 \, x\right)} - 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} - 4 \, e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"1/8*((-3*I*e^(8*x) + 12*I*e^(6*x) - 18*I*e^(4*x) + 12*I*e^(2*x) - 3*I)*log(e^x + 1) + (3*I*e^(8*x) - 12*I*e^(6*x) + 18*I*e^(4*x) - 12*I*e^(2*x) + 3*I)*log(e^x - 1) + 6*I*e^(7*x) - 22*I*e^(5*x) - 22*I*e^(3*x) + 6*I*e^x)/(e^(8*x) - 4*e^(6*x) + 6*e^(4*x) - 4*e^(2*x) + 1)","C",0
23,1,67,0,0.562514," ","integrate((-csch(x)^2)^(3/2),x, algorithm=""fricas"")","\frac{{\left(-i \, e^{\left(4 \, x\right)} + 2 i \, e^{\left(2 \, x\right)} - i\right)} \log\left(e^{x} + 1\right) + {\left(i \, e^{\left(4 \, x\right)} - 2 i \, e^{\left(2 \, x\right)} + i\right)} \log\left(e^{x} - 1\right) + 2 i \, e^{\left(3 \, x\right)} + 2 i \, e^{x}}{2 \, {\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"1/2*((-I*e^(4*x) + 2*I*e^(2*x) - I)*log(e^x + 1) + (I*e^(4*x) - 2*I*e^(2*x) + I)*log(e^x - 1) + 2*I*e^(3*x) + 2*I*e^x)/(e^(4*x) - 2*e^(2*x) + 1)","C",0
24,1,15,0,0.977140," ","integrate((-csch(x)^2)^(1/2),x, algorithm=""fricas"")","-i \, \log\left(e^{x} + 1\right) + i \, \log\left(e^{x} - 1\right)"," ",0,"-I*log(e^x + 1) + I*log(e^x - 1)","C",0
25,1,14,0,1.046599," ","integrate(1/(-csch(x)^2)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, {\left(-i \, e^{\left(2 \, x\right)} - i\right)} e^{\left(-x\right)}"," ",0,"1/2*(-I*e^(2*x) - I)*e^(-x)","C",0
26,1,26,0,2.465655," ","integrate(1/(-csch(x)^2)^(3/2),x, algorithm=""fricas"")","\frac{1}{24} \, {\left(i \, e^{\left(6 \, x\right)} - 9 i \, e^{\left(4 \, x\right)} - 9 i \, e^{\left(2 \, x\right)} + i\right)} e^{\left(-3 \, x\right)}"," ",0,"1/24*(I*e^(6*x) - 9*I*e^(4*x) - 9*I*e^(2*x) + I)*e^(-3*x)","C",0
27,1,38,0,1.451944," ","integrate(1/(-csch(x)^2)^(5/2),x, algorithm=""fricas"")","\frac{1}{480} \, {\left(-3 i \, e^{\left(10 \, x\right)} + 25 i \, e^{\left(8 \, x\right)} - 150 i \, e^{\left(6 \, x\right)} - 150 i \, e^{\left(4 \, x\right)} + 25 i \, e^{\left(2 \, x\right)} - 3 i\right)} e^{\left(-5 \, x\right)}"," ",0,"1/480*(-3*I*e^(10*x) + 25*I*e^(8*x) - 150*I*e^(6*x) - 150*I*e^(4*x) + 25*I*e^(2*x) - 3*I)*e^(-5*x)","C",0
28,1,50,0,1.130442," ","integrate(1/(-csch(x)^2)^(7/2),x, algorithm=""fricas"")","\frac{1}{4480} \, {\left(5 i \, e^{\left(14 \, x\right)} - 49 i \, e^{\left(12 \, x\right)} + 245 i \, e^{\left(10 \, x\right)} - 1225 i \, e^{\left(8 \, x\right)} - 1225 i \, e^{\left(6 \, x\right)} + 245 i \, e^{\left(4 \, x\right)} - 49 i \, e^{\left(2 \, x\right)} + 5 i\right)} e^{\left(-7 \, x\right)}"," ",0,"1/4480*(5*I*e^(14*x) - 49*I*e^(12*x) + 245*I*e^(10*x) - 1225*I*e^(8*x) - 1225*I*e^(6*x) + 245*I*e^(4*x) - 49*I*e^(2*x) + 5*I)*e^(-7*x)","C",0
29,1,1128,0,0.631300," ","integrate((a*csch(x)^2)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(6 \, a^{2} \cosh\left(x\right)^{7} - 6 \, {\left(a^{2} e^{\left(2 \, x\right)} - a^{2}\right)} \sinh\left(x\right)^{7} - 22 \, a^{2} \cosh\left(x\right)^{5} - 42 \, {\left(a^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} - a^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 2 \, {\left(63 \, a^{2} \cosh\left(x\right)^{2} - 11 \, a^{2} - {\left(63 \, a^{2} \cosh\left(x\right)^{2} - 11 \, a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{5} - 22 \, a^{2} \cosh\left(x\right)^{3} + 10 \, {\left(21 \, a^{2} \cosh\left(x\right)^{3} - 11 \, a^{2} \cosh\left(x\right) - {\left(21 \, a^{2} \cosh\left(x\right)^{3} - 11 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(105 \, a^{2} \cosh\left(x\right)^{4} - 110 \, a^{2} \cosh\left(x\right)^{2} - 11 \, a^{2} - {\left(105 \, a^{2} \cosh\left(x\right)^{4} - 110 \, a^{2} \cosh\left(x\right)^{2} - 11 \, a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{3} + 6 \, a^{2} \cosh\left(x\right) + 2 \, {\left(63 \, a^{2} \cosh\left(x\right)^{5} - 110 \, a^{2} \cosh\left(x\right)^{3} - 33 \, a^{2} \cosh\left(x\right) - {\left(63 \, a^{2} \cosh\left(x\right)^{5} - 110 \, a^{2} \cosh\left(x\right)^{3} - 33 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} - 2 \, {\left(3 \, a^{2} \cosh\left(x\right)^{7} - 11 \, a^{2} \cosh\left(x\right)^{5} - 11 \, a^{2} \cosh\left(x\right)^{3} + 3 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + 3 \, {\left(a^{2} \cosh\left(x\right)^{8} - {\left(a^{2} e^{\left(2 \, x\right)} - a^{2}\right)} \sinh\left(x\right)^{8} - 4 \, a^{2} \cosh\left(x\right)^{6} - 8 \, {\left(a^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} - a^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 4 \, {\left(7 \, a^{2} \cosh\left(x\right)^{2} - a^{2} - {\left(7 \, a^{2} \cosh\left(x\right)^{2} - a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{6} + 6 \, a^{2} \cosh\left(x\right)^{4} + 8 \, {\left(7 \, a^{2} \cosh\left(x\right)^{3} - 3 \, a^{2} \cosh\left(x\right) - {\left(7 \, a^{2} \cosh\left(x\right)^{3} - 3 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{5} + 2 \, {\left(35 \, a^{2} \cosh\left(x\right)^{4} - 30 \, a^{2} \cosh\left(x\right)^{2} + 3 \, a^{2} - {\left(35 \, a^{2} \cosh\left(x\right)^{4} - 30 \, a^{2} \cosh\left(x\right)^{2} + 3 \, a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{4} - 4 \, a^{2} \cosh\left(x\right)^{2} + 8 \, {\left(7 \, a^{2} \cosh\left(x\right)^{5} - 10 \, a^{2} \cosh\left(x\right)^{3} + 3 \, a^{2} \cosh\left(x\right) - {\left(7 \, a^{2} \cosh\left(x\right)^{5} - 10 \, a^{2} \cosh\left(x\right)^{3} + 3 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, a^{2} \cosh\left(x\right)^{6} - 15 \, a^{2} \cosh\left(x\right)^{4} + 9 \, a^{2} \cosh\left(x\right)^{2} - a^{2} - {\left(7 \, a^{2} \cosh\left(x\right)^{6} - 15 \, a^{2} \cosh\left(x\right)^{4} + 9 \, a^{2} \cosh\left(x\right)^{2} - a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} + a^{2} - {\left(a^{2} \cosh\left(x\right)^{8} - 4 \, a^{2} \cosh\left(x\right)^{6} + 6 \, a^{2} \cosh\left(x\right)^{4} - 4 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(2 \, x\right)} + 8 \, {\left(a^{2} \cosh\left(x\right)^{7} - 3 \, a^{2} \cosh\left(x\right)^{5} + 3 \, a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right) - {\left(a^{2} \cosh\left(x\right)^{7} - 3 \, a^{2} \cosh\left(x\right)^{5} + 3 \, a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)} \log\left(\frac{\cosh\left(x\right) + \sinh\left(x\right) - 1}{\cosh\left(x\right) + \sinh\left(x\right) + 1}\right) + 2 \, {\left(21 \, a^{2} \cosh\left(x\right)^{6} - 55 \, a^{2} \cosh\left(x\right)^{4} - 33 \, a^{2} \cosh\left(x\right)^{2} + 3 \, a^{2} - {\left(21 \, a^{2} \cosh\left(x\right)^{6} - 55 \, a^{2} \cosh\left(x\right)^{4} - 33 \, a^{2} \cosh\left(x\right)^{2} + 3 \, a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1}} e^{x}}{8 \, {\left(8 \, \cosh\left(x\right) e^{x} \sinh\left(x\right)^{7} + e^{x} \sinh\left(x\right)^{8} + 4 \, {\left(7 \, \cosh\left(x\right)^{2} - 1\right)} e^{x} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{5} + 2 \, {\left(35 \, \cosh\left(x\right)^{4} - 30 \, \cosh\left(x\right)^{2} + 3\right)} e^{x} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, \cosh\left(x\right)^{5} - 10 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, \cosh\left(x\right)^{6} - 15 \, \cosh\left(x\right)^{4} + 9 \, \cosh\left(x\right)^{2} - 1\right)} e^{x} \sinh\left(x\right)^{2} + 8 \, {\left(\cosh\left(x\right)^{7} - 3 \, \cosh\left(x\right)^{5} + 3 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right) + {\left(\cosh\left(x\right)^{8} - 4 \, \cosh\left(x\right)^{6} + 6 \, \cosh\left(x\right)^{4} - 4 \, \cosh\left(x\right)^{2} + 1\right)} e^{x}\right)}}"," ",0,"-1/8*(6*a^2*cosh(x)^7 - 6*(a^2*e^(2*x) - a^2)*sinh(x)^7 - 22*a^2*cosh(x)^5 - 42*(a^2*cosh(x)*e^(2*x) - a^2*cosh(x))*sinh(x)^6 + 2*(63*a^2*cosh(x)^2 - 11*a^2 - (63*a^2*cosh(x)^2 - 11*a^2)*e^(2*x))*sinh(x)^5 - 22*a^2*cosh(x)^3 + 10*(21*a^2*cosh(x)^3 - 11*a^2*cosh(x) - (21*a^2*cosh(x)^3 - 11*a^2*cosh(x))*e^(2*x))*sinh(x)^4 + 2*(105*a^2*cosh(x)^4 - 110*a^2*cosh(x)^2 - 11*a^2 - (105*a^2*cosh(x)^4 - 110*a^2*cosh(x)^2 - 11*a^2)*e^(2*x))*sinh(x)^3 + 6*a^2*cosh(x) + 2*(63*a^2*cosh(x)^5 - 110*a^2*cosh(x)^3 - 33*a^2*cosh(x) - (63*a^2*cosh(x)^5 - 110*a^2*cosh(x)^3 - 33*a^2*cosh(x))*e^(2*x))*sinh(x)^2 - 2*(3*a^2*cosh(x)^7 - 11*a^2*cosh(x)^5 - 11*a^2*cosh(x)^3 + 3*a^2*cosh(x))*e^(2*x) + 3*(a^2*cosh(x)^8 - (a^2*e^(2*x) - a^2)*sinh(x)^8 - 4*a^2*cosh(x)^6 - 8*(a^2*cosh(x)*e^(2*x) - a^2*cosh(x))*sinh(x)^7 + 4*(7*a^2*cosh(x)^2 - a^2 - (7*a^2*cosh(x)^2 - a^2)*e^(2*x))*sinh(x)^6 + 6*a^2*cosh(x)^4 + 8*(7*a^2*cosh(x)^3 - 3*a^2*cosh(x) - (7*a^2*cosh(x)^3 - 3*a^2*cosh(x))*e^(2*x))*sinh(x)^5 + 2*(35*a^2*cosh(x)^4 - 30*a^2*cosh(x)^2 + 3*a^2 - (35*a^2*cosh(x)^4 - 30*a^2*cosh(x)^2 + 3*a^2)*e^(2*x))*sinh(x)^4 - 4*a^2*cosh(x)^2 + 8*(7*a^2*cosh(x)^5 - 10*a^2*cosh(x)^3 + 3*a^2*cosh(x) - (7*a^2*cosh(x)^5 - 10*a^2*cosh(x)^3 + 3*a^2*cosh(x))*e^(2*x))*sinh(x)^3 + 4*(7*a^2*cosh(x)^6 - 15*a^2*cosh(x)^4 + 9*a^2*cosh(x)^2 - a^2 - (7*a^2*cosh(x)^6 - 15*a^2*cosh(x)^4 + 9*a^2*cosh(x)^2 - a^2)*e^(2*x))*sinh(x)^2 + a^2 - (a^2*cosh(x)^8 - 4*a^2*cosh(x)^6 + 6*a^2*cosh(x)^4 - 4*a^2*cosh(x)^2 + a^2)*e^(2*x) + 8*(a^2*cosh(x)^7 - 3*a^2*cosh(x)^5 + 3*a^2*cosh(x)^3 - a^2*cosh(x) - (a^2*cosh(x)^7 - 3*a^2*cosh(x)^5 + 3*a^2*cosh(x)^3 - a^2*cosh(x))*e^(2*x))*sinh(x))*log((cosh(x) + sinh(x) - 1)/(cosh(x) + sinh(x) + 1)) + 2*(21*a^2*cosh(x)^6 - 55*a^2*cosh(x)^4 - 33*a^2*cosh(x)^2 + 3*a^2 - (21*a^2*cosh(x)^6 - 55*a^2*cosh(x)^4 - 33*a^2*cosh(x)^2 + 3*a^2)*e^(2*x))*sinh(x))*sqrt(a/(e^(4*x) - 2*e^(2*x) + 1))*e^x/(8*cosh(x)*e^x*sinh(x)^7 + e^x*sinh(x)^8 + 4*(7*cosh(x)^2 - 1)*e^x*sinh(x)^6 + 8*(7*cosh(x)^3 - 3*cosh(x))*e^x*sinh(x)^5 + 2*(35*cosh(x)^4 - 30*cosh(x)^2 + 3)*e^x*sinh(x)^4 + 8*(7*cosh(x)^5 - 10*cosh(x)^3 + 3*cosh(x))*e^x*sinh(x)^3 + 4*(7*cosh(x)^6 - 15*cosh(x)^4 + 9*cosh(x)^2 - 1)*e^x*sinh(x)^2 + 8*(cosh(x)^7 - 3*cosh(x)^5 + 3*cosh(x)^3 - cosh(x))*e^x*sinh(x) + (cosh(x)^8 - 4*cosh(x)^6 + 6*cosh(x)^4 - 4*cosh(x)^2 + 1)*e^x)","B",0
30,1,340,0,0.567407," ","integrate((a*csch(x)^2)^(3/2),x, algorithm=""fricas"")","\frac{{\left(2 \, a \cosh\left(x\right)^{3} - 2 \, {\left(a e^{\left(2 \, x\right)} - a\right)} \sinh\left(x\right)^{3} - 6 \, {\left(a \cosh\left(x\right) e^{\left(2 \, x\right)} - a \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 2 \, a \cosh\left(x\right) - 2 \, {\left(a \cosh\left(x\right)^{3} + a \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} - {\left(a \cosh\left(x\right)^{4} - {\left(a e^{\left(2 \, x\right)} - a\right)} \sinh\left(x\right)^{4} - 4 \, {\left(a \cosh\left(x\right) e^{\left(2 \, x\right)} - a \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, a \cosh\left(x\right)^{2} + 2 \, {\left(3 \, a \cosh\left(x\right)^{2} - {\left(3 \, a \cosh\left(x\right)^{2} - a\right)} e^{\left(2 \, x\right)} - a\right)} \sinh\left(x\right)^{2} - {\left(a \cosh\left(x\right)^{4} - 2 \, a \cosh\left(x\right)^{2} + a\right)} e^{\left(2 \, x\right)} + 4 \, {\left(a \cosh\left(x\right)^{3} - a \cosh\left(x\right) - {\left(a \cosh\left(x\right)^{3} - a \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) + a\right)} \log\left(\frac{\cosh\left(x\right) + \sinh\left(x\right) + 1}{\cosh\left(x\right) + \sinh\left(x\right) - 1}\right) + 2 \, {\left(3 \, a \cosh\left(x\right)^{2} - {\left(3 \, a \cosh\left(x\right)^{2} + a\right)} e^{\left(2 \, x\right)} + a\right)} \sinh\left(x\right)\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1}} e^{x}}{2 \, {\left(4 \, \cosh\left(x\right) e^{x} \sinh\left(x\right)^{3} + e^{x} \sinh\left(x\right)^{4} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} - 1\right)} e^{x} \sinh\left(x\right)^{2} + 4 \, {\left(\cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} e^{x} \sinh\left(x\right) + {\left(\cosh\left(x\right)^{4} - 2 \, \cosh\left(x\right)^{2} + 1\right)} e^{x}\right)}}"," ",0,"1/2*(2*a*cosh(x)^3 - 2*(a*e^(2*x) - a)*sinh(x)^3 - 6*(a*cosh(x)*e^(2*x) - a*cosh(x))*sinh(x)^2 + 2*a*cosh(x) - 2*(a*cosh(x)^3 + a*cosh(x))*e^(2*x) - (a*cosh(x)^4 - (a*e^(2*x) - a)*sinh(x)^4 - 4*(a*cosh(x)*e^(2*x) - a*cosh(x))*sinh(x)^3 - 2*a*cosh(x)^2 + 2*(3*a*cosh(x)^2 - (3*a*cosh(x)^2 - a)*e^(2*x) - a)*sinh(x)^2 - (a*cosh(x)^4 - 2*a*cosh(x)^2 + a)*e^(2*x) + 4*(a*cosh(x)^3 - a*cosh(x) - (a*cosh(x)^3 - a*cosh(x))*e^(2*x))*sinh(x) + a)*log((cosh(x) + sinh(x) + 1)/(cosh(x) + sinh(x) - 1)) + 2*(3*a*cosh(x)^2 - (3*a*cosh(x)^2 + a)*e^(2*x) + a)*sinh(x))*sqrt(a/(e^(4*x) - 2*e^(2*x) + 1))*e^x/(4*cosh(x)*e^x*sinh(x)^3 + e^x*sinh(x)^4 + 2*(3*cosh(x)^2 - 1)*e^x*sinh(x)^2 + 4*(cosh(x)^3 - cosh(x))*e^x*sinh(x) + (cosh(x)^4 - 2*cosh(x)^2 + 1)*e^x)","B",0
31,1,97,0,1.133378," ","integrate((a*csch(x)^2)^(1/2),x, algorithm=""fricas"")","\left[\sqrt{\frac{a}{e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1}} {\left(e^{\left(2 \, x\right)} - 1\right)} \log\left(\frac{\cosh\left(x\right) + \sinh\left(x\right) - 1}{\cosh\left(x\right) + \sinh\left(x\right) + 1}\right), 2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{-a} \sqrt{\frac{a}{e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1}} {\left(e^{\left(2 \, x\right)} - 1\right)} e^{x}}{a \cosh\left(x\right) e^{x} + a e^{x} \sinh\left(x\right)}\right)\right]"," ",0,"[sqrt(a/(e^(4*x) - 2*e^(2*x) + 1))*(e^(2*x) - 1)*log((cosh(x) + sinh(x) - 1)/(cosh(x) + sinh(x) + 1)), 2*sqrt(-a)*arctan(sqrt(-a)*sqrt(a/(e^(4*x) - 2*e^(2*x) + 1))*(e^(2*x) - 1)*e^x/(a*cosh(x)*e^x + a*e^x*sinh(x)))]","B",0
32,1,83,0,2.481258," ","integrate(1/(a*csch(x)^2)^(1/2),x, algorithm=""fricas"")","\frac{{\left({\left(e^{\left(2 \, x\right)} - 1\right)} \sinh\left(x\right)^{2} - \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 2 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} - \cosh\left(x\right)\right)} \sinh\left(x\right) - 1\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1}} e^{x}}{2 \, {\left(a \cosh\left(x\right) e^{x} + a e^{x} \sinh\left(x\right)\right)}}"," ",0,"1/2*((e^(2*x) - 1)*sinh(x)^2 - cosh(x)^2 + (cosh(x)^2 + 1)*e^(2*x) + 2*(cosh(x)*e^(2*x) - cosh(x))*sinh(x) - 1)*sqrt(a/(e^(4*x) - 2*e^(2*x) + 1))*e^x/(a*cosh(x)*e^x + a*e^x*sinh(x))","B",0
33,1,285,0,1.308000," ","integrate(1/(a*csch(x)^2)^(3/2),x, algorithm=""fricas"")","\frac{{\left({\left(e^{\left(2 \, x\right)} - 1\right)} \sinh\left(x\right)^{6} - \cosh\left(x\right)^{6} + 6 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 3 \, {\left(5 \, \cosh\left(x\right)^{2} - {\left(5 \, \cosh\left(x\right)^{2} - 3\right)} e^{\left(2 \, x\right)} - 3\right)} \sinh\left(x\right)^{4} + 9 \, \cosh\left(x\right)^{4} - 4 \, {\left(5 \, \cosh\left(x\right)^{3} - {\left(5 \, \cosh\left(x\right)^{3} - 9 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} - 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 3 \, {\left(5 \, \cosh\left(x\right)^{4} - 18 \, \cosh\left(x\right)^{2} - {\left(5 \, \cosh\left(x\right)^{4} - 18 \, \cosh\left(x\right)^{2} - 3\right)} e^{\left(2 \, x\right)} - 3\right)} \sinh\left(x\right)^{2} + 9 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{6} - 9 \, \cosh\left(x\right)^{4} - 9 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} - 6 \, {\left(\cosh\left(x\right)^{5} - 6 \, \cosh\left(x\right)^{3} - {\left(\cosh\left(x\right)^{5} - 6 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} - 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right) - 1\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1}} e^{x}}{24 \, {\left(a^{2} \cosh\left(x\right)^{3} e^{x} + 3 \, a^{2} \cosh\left(x\right)^{2} e^{x} \sinh\left(x\right) + 3 \, a^{2} \cosh\left(x\right) e^{x} \sinh\left(x\right)^{2} + a^{2} e^{x} \sinh\left(x\right)^{3}\right)}}"," ",0,"1/24*((e^(2*x) - 1)*sinh(x)^6 - cosh(x)^6 + 6*(cosh(x)*e^(2*x) - cosh(x))*sinh(x)^5 - 3*(5*cosh(x)^2 - (5*cosh(x)^2 - 3)*e^(2*x) - 3)*sinh(x)^4 + 9*cosh(x)^4 - 4*(5*cosh(x)^3 - (5*cosh(x)^3 - 9*cosh(x))*e^(2*x) - 9*cosh(x))*sinh(x)^3 - 3*(5*cosh(x)^4 - 18*cosh(x)^2 - (5*cosh(x)^4 - 18*cosh(x)^2 - 3)*e^(2*x) - 3)*sinh(x)^2 + 9*cosh(x)^2 + (cosh(x)^6 - 9*cosh(x)^4 - 9*cosh(x)^2 + 1)*e^(2*x) - 6*(cosh(x)^5 - 6*cosh(x)^3 - (cosh(x)^5 - 6*cosh(x)^3 - 3*cosh(x))*e^(2*x) - 3*cosh(x))*sinh(x) - 1)*sqrt(a/(e^(4*x) - 2*e^(2*x) + 1))*e^x/(a^2*cosh(x)^3*e^x + 3*a^2*cosh(x)^2*e^x*sinh(x) + 3*a^2*cosh(x)*e^x*sinh(x)^2 + a^2*e^x*sinh(x)^3)","B",0
34,1,590,0,0.597848," ","integrate(1/(a*csch(x)^2)^(5/2),x, algorithm=""fricas"")","\frac{{\left(3 \, {\left(e^{\left(2 \, x\right)} - 1\right)} \sinh\left(x\right)^{10} - 3 \, \cosh\left(x\right)^{10} + 30 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} - 5 \, {\left(27 \, \cosh\left(x\right)^{2} - {\left(27 \, \cosh\left(x\right)^{2} - 5\right)} e^{\left(2 \, x\right)} - 5\right)} \sinh\left(x\right)^{8} + 25 \, \cosh\left(x\right)^{8} - 40 \, {\left(9 \, \cosh\left(x\right)^{3} - {\left(9 \, \cosh\left(x\right)^{3} - 5 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} - 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 10 \, {\left(63 \, \cosh\left(x\right)^{4} - 70 \, \cosh\left(x\right)^{2} - {\left(63 \, \cosh\left(x\right)^{4} - 70 \, \cosh\left(x\right)^{2} + 15\right)} e^{\left(2 \, x\right)} + 15\right)} \sinh\left(x\right)^{6} - 150 \, \cosh\left(x\right)^{6} - 4 \, {\left(189 \, \cosh\left(x\right)^{5} - 350 \, \cosh\left(x\right)^{3} - {\left(189 \, \cosh\left(x\right)^{5} - 350 \, \cosh\left(x\right)^{3} + 225 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + 225 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 10 \, {\left(63 \, \cosh\left(x\right)^{6} - 175 \, \cosh\left(x\right)^{4} + 225 \, \cosh\left(x\right)^{2} - {\left(63 \, \cosh\left(x\right)^{6} - 175 \, \cosh\left(x\right)^{4} + 225 \, \cosh\left(x\right)^{2} + 15\right)} e^{\left(2 \, x\right)} + 15\right)} \sinh\left(x\right)^{4} - 150 \, \cosh\left(x\right)^{4} - 40 \, {\left(9 \, \cosh\left(x\right)^{7} - 35 \, \cosh\left(x\right)^{5} + 75 \, \cosh\left(x\right)^{3} - {\left(9 \, \cosh\left(x\right)^{7} - 35 \, \cosh\left(x\right)^{5} + 75 \, \cosh\left(x\right)^{3} + 15 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + 15 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 5 \, {\left(27 \, \cosh\left(x\right)^{8} - 140 \, \cosh\left(x\right)^{6} + 450 \, \cosh\left(x\right)^{4} + 180 \, \cosh\left(x\right)^{2} - {\left(27 \, \cosh\left(x\right)^{8} - 140 \, \cosh\left(x\right)^{6} + 450 \, \cosh\left(x\right)^{4} + 180 \, \cosh\left(x\right)^{2} - 5\right)} e^{\left(2 \, x\right)} - 5\right)} \sinh\left(x\right)^{2} + 25 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{10} - 25 \, \cosh\left(x\right)^{8} + 150 \, \cosh\left(x\right)^{6} + 150 \, \cosh\left(x\right)^{4} - 25 \, \cosh\left(x\right)^{2} + 3\right)} e^{\left(2 \, x\right)} - 10 \, {\left(3 \, \cosh\left(x\right)^{9} - 20 \, \cosh\left(x\right)^{7} + 90 \, \cosh\left(x\right)^{5} + 60 \, \cosh\left(x\right)^{3} - {\left(3 \, \cosh\left(x\right)^{9} - 20 \, \cosh\left(x\right)^{7} + 90 \, \cosh\left(x\right)^{5} + 60 \, \cosh\left(x\right)^{3} - 5 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} - 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right) - 3\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1}} e^{x}}{480 \, {\left(a^{3} \cosh\left(x\right)^{5} e^{x} + 5 \, a^{3} \cosh\left(x\right)^{4} e^{x} \sinh\left(x\right) + 10 \, a^{3} \cosh\left(x\right)^{3} e^{x} \sinh\left(x\right)^{2} + 10 \, a^{3} \cosh\left(x\right)^{2} e^{x} \sinh\left(x\right)^{3} + 5 \, a^{3} \cosh\left(x\right) e^{x} \sinh\left(x\right)^{4} + a^{3} e^{x} \sinh\left(x\right)^{5}\right)}}"," ",0,"1/480*(3*(e^(2*x) - 1)*sinh(x)^10 - 3*cosh(x)^10 + 30*(cosh(x)*e^(2*x) - cosh(x))*sinh(x)^9 - 5*(27*cosh(x)^2 - (27*cosh(x)^2 - 5)*e^(2*x) - 5)*sinh(x)^8 + 25*cosh(x)^8 - 40*(9*cosh(x)^3 - (9*cosh(x)^3 - 5*cosh(x))*e^(2*x) - 5*cosh(x))*sinh(x)^7 - 10*(63*cosh(x)^4 - 70*cosh(x)^2 - (63*cosh(x)^4 - 70*cosh(x)^2 + 15)*e^(2*x) + 15)*sinh(x)^6 - 150*cosh(x)^6 - 4*(189*cosh(x)^5 - 350*cosh(x)^3 - (189*cosh(x)^5 - 350*cosh(x)^3 + 225*cosh(x))*e^(2*x) + 225*cosh(x))*sinh(x)^5 - 10*(63*cosh(x)^6 - 175*cosh(x)^4 + 225*cosh(x)^2 - (63*cosh(x)^6 - 175*cosh(x)^4 + 225*cosh(x)^2 + 15)*e^(2*x) + 15)*sinh(x)^4 - 150*cosh(x)^4 - 40*(9*cosh(x)^7 - 35*cosh(x)^5 + 75*cosh(x)^3 - (9*cosh(x)^7 - 35*cosh(x)^5 + 75*cosh(x)^3 + 15*cosh(x))*e^(2*x) + 15*cosh(x))*sinh(x)^3 - 5*(27*cosh(x)^8 - 140*cosh(x)^6 + 450*cosh(x)^4 + 180*cosh(x)^2 - (27*cosh(x)^8 - 140*cosh(x)^6 + 450*cosh(x)^4 + 180*cosh(x)^2 - 5)*e^(2*x) - 5)*sinh(x)^2 + 25*cosh(x)^2 + (3*cosh(x)^10 - 25*cosh(x)^8 + 150*cosh(x)^6 + 150*cosh(x)^4 - 25*cosh(x)^2 + 3)*e^(2*x) - 10*(3*cosh(x)^9 - 20*cosh(x)^7 + 90*cosh(x)^5 + 60*cosh(x)^3 - (3*cosh(x)^9 - 20*cosh(x)^7 + 90*cosh(x)^5 + 60*cosh(x)^3 - 5*cosh(x))*e^(2*x) - 5*cosh(x))*sinh(x) - 3)*sqrt(a/(e^(4*x) - 2*e^(2*x) + 1))*e^x/(a^3*cosh(x)^5*e^x + 5*a^3*cosh(x)^4*e^x*sinh(x) + 10*a^3*cosh(x)^3*e^x*sinh(x)^2 + 10*a^3*cosh(x)^2*e^x*sinh(x)^3 + 5*a^3*cosh(x)*e^x*sinh(x)^4 + a^3*e^x*sinh(x)^5)","B",0
35,1,984,0,1.286948," ","integrate(1/(a*csch(x)^2)^(7/2),x, algorithm=""fricas"")","\frac{{\left(5 \, {\left(e^{\left(2 \, x\right)} - 1\right)} \sinh\left(x\right)^{14} - 5 \, \cosh\left(x\right)^{14} + 70 \, {\left(\cosh\left(x\right) e^{\left(2 \, x\right)} - \cosh\left(x\right)\right)} \sinh\left(x\right)^{13} - 7 \, {\left(65 \, \cosh\left(x\right)^{2} - {\left(65 \, \cosh\left(x\right)^{2} - 7\right)} e^{\left(2 \, x\right)} - 7\right)} \sinh\left(x\right)^{12} + 49 \, \cosh\left(x\right)^{12} - 28 \, {\left(65 \, \cosh\left(x\right)^{3} - {\left(65 \, \cosh\left(x\right)^{3} - 21 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} - 21 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{11} - 7 \, {\left(715 \, \cosh\left(x\right)^{4} - 462 \, \cosh\left(x\right)^{2} - {\left(715 \, \cosh\left(x\right)^{4} - 462 \, \cosh\left(x\right)^{2} + 35\right)} e^{\left(2 \, x\right)} + 35\right)} \sinh\left(x\right)^{10} - 245 \, \cosh\left(x\right)^{10} - 70 \, {\left(143 \, \cosh\left(x\right)^{5} - 154 \, \cosh\left(x\right)^{3} - {\left(143 \, \cosh\left(x\right)^{5} - 154 \, \cosh\left(x\right)^{3} + 35 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + 35 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} - 35 \, {\left(429 \, \cosh\left(x\right)^{6} - 693 \, \cosh\left(x\right)^{4} + 315 \, \cosh\left(x\right)^{2} - {\left(429 \, \cosh\left(x\right)^{6} - 693 \, \cosh\left(x\right)^{4} + 315 \, \cosh\left(x\right)^{2} - 35\right)} e^{\left(2 \, x\right)} - 35\right)} \sinh\left(x\right)^{8} + 1225 \, \cosh\left(x\right)^{8} - 8 \, {\left(2145 \, \cosh\left(x\right)^{7} - 4851 \, \cosh\left(x\right)^{5} + 3675 \, \cosh\left(x\right)^{3} - {\left(2145 \, \cosh\left(x\right)^{7} - 4851 \, \cosh\left(x\right)^{5} + 3675 \, \cosh\left(x\right)^{3} - 1225 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} - 1225 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 7 \, {\left(2145 \, \cosh\left(x\right)^{8} - 6468 \, \cosh\left(x\right)^{6} + 7350 \, \cosh\left(x\right)^{4} - 4900 \, \cosh\left(x\right)^{2} - {\left(2145 \, \cosh\left(x\right)^{8} - 6468 \, \cosh\left(x\right)^{6} + 7350 \, \cosh\left(x\right)^{4} - 4900 \, \cosh\left(x\right)^{2} - 175\right)} e^{\left(2 \, x\right)} - 175\right)} \sinh\left(x\right)^{6} + 1225 \, \cosh\left(x\right)^{6} - 14 \, {\left(715 \, \cosh\left(x\right)^{9} - 2772 \, \cosh\left(x\right)^{7} + 4410 \, \cosh\left(x\right)^{5} - 4900 \, \cosh\left(x\right)^{3} - {\left(715 \, \cosh\left(x\right)^{9} - 2772 \, \cosh\left(x\right)^{7} + 4410 \, \cosh\left(x\right)^{5} - 4900 \, \cosh\left(x\right)^{3} - 525 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} - 525 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 35 \, {\left(143 \, \cosh\left(x\right)^{10} - 693 \, \cosh\left(x\right)^{8} + 1470 \, \cosh\left(x\right)^{6} - 2450 \, \cosh\left(x\right)^{4} - 525 \, \cosh\left(x\right)^{2} - {\left(143 \, \cosh\left(x\right)^{10} - 693 \, \cosh\left(x\right)^{8} + 1470 \, \cosh\left(x\right)^{6} - 2450 \, \cosh\left(x\right)^{4} - 525 \, \cosh\left(x\right)^{2} + 7\right)} e^{\left(2 \, x\right)} + 7\right)} \sinh\left(x\right)^{4} - 245 \, \cosh\left(x\right)^{4} - 140 \, {\left(13 \, \cosh\left(x\right)^{11} - 77 \, \cosh\left(x\right)^{9} + 210 \, \cosh\left(x\right)^{7} - 490 \, \cosh\left(x\right)^{5} - 175 \, \cosh\left(x\right)^{3} - {\left(13 \, \cosh\left(x\right)^{11} - 77 \, \cosh\left(x\right)^{9} + 210 \, \cosh\left(x\right)^{7} - 490 \, \cosh\left(x\right)^{5} - 175 \, \cosh\left(x\right)^{3} + 7 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + 7 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 7 \, {\left(65 \, \cosh\left(x\right)^{12} - 462 \, \cosh\left(x\right)^{10} + 1575 \, \cosh\left(x\right)^{8} - 4900 \, \cosh\left(x\right)^{6} - 2625 \, \cosh\left(x\right)^{4} + 210 \, \cosh\left(x\right)^{2} - {\left(65 \, \cosh\left(x\right)^{12} - 462 \, \cosh\left(x\right)^{10} + 1575 \, \cosh\left(x\right)^{8} - 4900 \, \cosh\left(x\right)^{6} - 2625 \, \cosh\left(x\right)^{4} + 210 \, \cosh\left(x\right)^{2} - 7\right)} e^{\left(2 \, x\right)} - 7\right)} \sinh\left(x\right)^{2} + 49 \, \cosh\left(x\right)^{2} + {\left(5 \, \cosh\left(x\right)^{14} - 49 \, \cosh\left(x\right)^{12} + 245 \, \cosh\left(x\right)^{10} - 1225 \, \cosh\left(x\right)^{8} - 1225 \, \cosh\left(x\right)^{6} + 245 \, \cosh\left(x\right)^{4} - 49 \, \cosh\left(x\right)^{2} + 5\right)} e^{\left(2 \, x\right)} - 14 \, {\left(5 \, \cosh\left(x\right)^{13} - 42 \, \cosh\left(x\right)^{11} + 175 \, \cosh\left(x\right)^{9} - 700 \, \cosh\left(x\right)^{7} - 525 \, \cosh\left(x\right)^{5} + 70 \, \cosh\left(x\right)^{3} - {\left(5 \, \cosh\left(x\right)^{13} - 42 \, \cosh\left(x\right)^{11} + 175 \, \cosh\left(x\right)^{9} - 700 \, \cosh\left(x\right)^{7} - 525 \, \cosh\left(x\right)^{5} + 70 \, \cosh\left(x\right)^{3} - 7 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} - 7 \, \cosh\left(x\right)\right)} \sinh\left(x\right) - 5\right)} \sqrt{\frac{a}{e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1}} e^{x}}{4480 \, {\left(a^{4} \cosh\left(x\right)^{7} e^{x} + 7 \, a^{4} \cosh\left(x\right)^{6} e^{x} \sinh\left(x\right) + 21 \, a^{4} \cosh\left(x\right)^{5} e^{x} \sinh\left(x\right)^{2} + 35 \, a^{4} \cosh\left(x\right)^{4} e^{x} \sinh\left(x\right)^{3} + 35 \, a^{4} \cosh\left(x\right)^{3} e^{x} \sinh\left(x\right)^{4} + 21 \, a^{4} \cosh\left(x\right)^{2} e^{x} \sinh\left(x\right)^{5} + 7 \, a^{4} \cosh\left(x\right) e^{x} \sinh\left(x\right)^{6} + a^{4} e^{x} \sinh\left(x\right)^{7}\right)}}"," ",0,"1/4480*(5*(e^(2*x) - 1)*sinh(x)^14 - 5*cosh(x)^14 + 70*(cosh(x)*e^(2*x) - cosh(x))*sinh(x)^13 - 7*(65*cosh(x)^2 - (65*cosh(x)^2 - 7)*e^(2*x) - 7)*sinh(x)^12 + 49*cosh(x)^12 - 28*(65*cosh(x)^3 - (65*cosh(x)^3 - 21*cosh(x))*e^(2*x) - 21*cosh(x))*sinh(x)^11 - 7*(715*cosh(x)^4 - 462*cosh(x)^2 - (715*cosh(x)^4 - 462*cosh(x)^2 + 35)*e^(2*x) + 35)*sinh(x)^10 - 245*cosh(x)^10 - 70*(143*cosh(x)^5 - 154*cosh(x)^3 - (143*cosh(x)^5 - 154*cosh(x)^3 + 35*cosh(x))*e^(2*x) + 35*cosh(x))*sinh(x)^9 - 35*(429*cosh(x)^6 - 693*cosh(x)^4 + 315*cosh(x)^2 - (429*cosh(x)^6 - 693*cosh(x)^4 + 315*cosh(x)^2 - 35)*e^(2*x) - 35)*sinh(x)^8 + 1225*cosh(x)^8 - 8*(2145*cosh(x)^7 - 4851*cosh(x)^5 + 3675*cosh(x)^3 - (2145*cosh(x)^7 - 4851*cosh(x)^5 + 3675*cosh(x)^3 - 1225*cosh(x))*e^(2*x) - 1225*cosh(x))*sinh(x)^7 - 7*(2145*cosh(x)^8 - 6468*cosh(x)^6 + 7350*cosh(x)^4 - 4900*cosh(x)^2 - (2145*cosh(x)^8 - 6468*cosh(x)^6 + 7350*cosh(x)^4 - 4900*cosh(x)^2 - 175)*e^(2*x) - 175)*sinh(x)^6 + 1225*cosh(x)^6 - 14*(715*cosh(x)^9 - 2772*cosh(x)^7 + 4410*cosh(x)^5 - 4900*cosh(x)^3 - (715*cosh(x)^9 - 2772*cosh(x)^7 + 4410*cosh(x)^5 - 4900*cosh(x)^3 - 525*cosh(x))*e^(2*x) - 525*cosh(x))*sinh(x)^5 - 35*(143*cosh(x)^10 - 693*cosh(x)^8 + 1470*cosh(x)^6 - 2450*cosh(x)^4 - 525*cosh(x)^2 - (143*cosh(x)^10 - 693*cosh(x)^8 + 1470*cosh(x)^6 - 2450*cosh(x)^4 - 525*cosh(x)^2 + 7)*e^(2*x) + 7)*sinh(x)^4 - 245*cosh(x)^4 - 140*(13*cosh(x)^11 - 77*cosh(x)^9 + 210*cosh(x)^7 - 490*cosh(x)^5 - 175*cosh(x)^3 - (13*cosh(x)^11 - 77*cosh(x)^9 + 210*cosh(x)^7 - 490*cosh(x)^5 - 175*cosh(x)^3 + 7*cosh(x))*e^(2*x) + 7*cosh(x))*sinh(x)^3 - 7*(65*cosh(x)^12 - 462*cosh(x)^10 + 1575*cosh(x)^8 - 4900*cosh(x)^6 - 2625*cosh(x)^4 + 210*cosh(x)^2 - (65*cosh(x)^12 - 462*cosh(x)^10 + 1575*cosh(x)^8 - 4900*cosh(x)^6 - 2625*cosh(x)^4 + 210*cosh(x)^2 - 7)*e^(2*x) - 7)*sinh(x)^2 + 49*cosh(x)^2 + (5*cosh(x)^14 - 49*cosh(x)^12 + 245*cosh(x)^10 - 1225*cosh(x)^8 - 1225*cosh(x)^6 + 245*cosh(x)^4 - 49*cosh(x)^2 + 5)*e^(2*x) - 14*(5*cosh(x)^13 - 42*cosh(x)^11 + 175*cosh(x)^9 - 700*cosh(x)^7 - 525*cosh(x)^5 + 70*cosh(x)^3 - (5*cosh(x)^13 - 42*cosh(x)^11 + 175*cosh(x)^9 - 700*cosh(x)^7 - 525*cosh(x)^5 + 70*cosh(x)^3 - 7*cosh(x))*e^(2*x) - 7*cosh(x))*sinh(x) - 5)*sqrt(a/(e^(4*x) - 2*e^(2*x) + 1))*e^x/(a^4*cosh(x)^7*e^x + 7*a^4*cosh(x)^6*e^x*sinh(x) + 21*a^4*cosh(x)^5*e^x*sinh(x)^2 + 35*a^4*cosh(x)^4*e^x*sinh(x)^3 + 35*a^4*cosh(x)^3*e^x*sinh(x)^4 + 21*a^4*cosh(x)^2*e^x*sinh(x)^5 + 7*a^4*cosh(x)*e^x*sinh(x)^6 + a^4*e^x*sinh(x)^7)","B",0
36,0,0,0,0.610654," ","integrate((a*csch(x)^3)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \operatorname{csch}\left(x\right)^{3}} a^{2} \operatorname{csch}\left(x\right)^{6}, x\right)"," ",0,"integral(sqrt(a*csch(x)^3)*a^2*csch(x)^6, x)","F",0
37,0,0,0,0.474887," ","integrate((a*csch(x)^3)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \operatorname{csch}\left(x\right)^{3}} a \operatorname{csch}\left(x\right)^{3}, x\right)"," ",0,"integral(sqrt(a*csch(x)^3)*a*csch(x)^3, x)","F",0
38,0,0,0,0.514617," ","integrate((a*csch(x)^3)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \operatorname{csch}\left(x\right)^{3}}, x\right)"," ",0,"integral(sqrt(a*csch(x)^3), x)","F",0
39,0,0,0,0.590957," ","integrate(1/(a*csch(x)^3)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \operatorname{csch}\left(x\right)^{3}}}{a \operatorname{csch}\left(x\right)^{3}}, x\right)"," ",0,"integral(sqrt(a*csch(x)^3)/(a*csch(x)^3), x)","F",0
40,0,0,0,0.596834," ","integrate(1/(a*csch(x)^3)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \operatorname{csch}\left(x\right)^{3}}}{a^{2} \operatorname{csch}\left(x\right)^{6}}, x\right)"," ",0,"integral(sqrt(a*csch(x)^3)/(a^2*csch(x)^6), x)","F",0
41,0,0,0,1.529122," ","integrate(1/(a*csch(x)^3)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \operatorname{csch}\left(x\right)^{3}}}{a^{3} \operatorname{csch}\left(x\right)^{9}}, x\right)"," ",0,"integral(sqrt(a*csch(x)^3)/(a^3*csch(x)^9), x)","F",0
42,1,2825,0,0.651572," ","integrate((a*csch(x)^4)^(7/2),x, algorithm=""fricas"")","-\frac{2048 \, {\left(1716 \, a^{3} \cosh\left(x\right)^{12} - 1287 \, a^{3} \cosh\left(x\right)^{10} + 1716 \, {\left(a^{3} e^{\left(4 \, x\right)} - 2 \, a^{3} e^{\left(2 \, x\right)} + a^{3}\right)} \sinh\left(x\right)^{12} + 20592 \, {\left(a^{3} \cosh\left(x\right) e^{\left(4 \, x\right)} - 2 \, a^{3} \cosh\left(x\right) e^{\left(2 \, x\right)} + a^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)^{11} + 715 \, a^{3} \cosh\left(x\right)^{8} + 1287 \, {\left(88 \, a^{3} \cosh\left(x\right)^{2} - a^{3} + {\left(88 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(88 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{10} + 4290 \, {\left(88 \, a^{3} \cosh\left(x\right)^{3} - 3 \, a^{3} \cosh\left(x\right) + {\left(88 \, a^{3} \cosh\left(x\right)^{3} - 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(88 \, a^{3} \cosh\left(x\right)^{3} - 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{9} - 286 \, a^{3} \cosh\left(x\right)^{6} + 715 \, {\left(1188 \, a^{3} \cosh\left(x\right)^{4} - 81 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + {\left(1188 \, a^{3} \cosh\left(x\right)^{4} - 81 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(1188 \, a^{3} \cosh\left(x\right)^{4} - 81 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{8} + 1144 \, {\left(1188 \, a^{3} \cosh\left(x\right)^{5} - 135 \, a^{3} \cosh\left(x\right)^{3} + 5 \, a^{3} \cosh\left(x\right) + {\left(1188 \, a^{3} \cosh\left(x\right)^{5} - 135 \, a^{3} \cosh\left(x\right)^{3} + 5 \, a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(1188 \, a^{3} \cosh\left(x\right)^{5} - 135 \, a^{3} \cosh\left(x\right)^{3} + 5 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{7} + 78 \, a^{3} \cosh\left(x\right)^{4} + 286 \, {\left(5544 \, a^{3} \cosh\left(x\right)^{6} - 945 \, a^{3} \cosh\left(x\right)^{4} + 70 \, a^{3} \cosh\left(x\right)^{2} - a^{3} + {\left(5544 \, a^{3} \cosh\left(x\right)^{6} - 945 \, a^{3} \cosh\left(x\right)^{4} + 70 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(5544 \, a^{3} \cosh\left(x\right)^{6} - 945 \, a^{3} \cosh\left(x\right)^{4} + 70 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{6} + 572 \, {\left(2376 \, a^{3} \cosh\left(x\right)^{7} - 567 \, a^{3} \cosh\left(x\right)^{5} + 70 \, a^{3} \cosh\left(x\right)^{3} - 3 \, a^{3} \cosh\left(x\right) + {\left(2376 \, a^{3} \cosh\left(x\right)^{7} - 567 \, a^{3} \cosh\left(x\right)^{5} + 70 \, a^{3} \cosh\left(x\right)^{3} - 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(2376 \, a^{3} \cosh\left(x\right)^{7} - 567 \, a^{3} \cosh\left(x\right)^{5} + 70 \, a^{3} \cosh\left(x\right)^{3} - 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{5} - 13 \, a^{3} \cosh\left(x\right)^{2} + 26 \, {\left(32670 \, a^{3} \cosh\left(x\right)^{8} - 10395 \, a^{3} \cosh\left(x\right)^{6} + 1925 \, a^{3} \cosh\left(x\right)^{4} - 165 \, a^{3} \cosh\left(x\right)^{2} + 3 \, a^{3} + {\left(32670 \, a^{3} \cosh\left(x\right)^{8} - 10395 \, a^{3} \cosh\left(x\right)^{6} + 1925 \, a^{3} \cosh\left(x\right)^{4} - 165 \, a^{3} \cosh\left(x\right)^{2} + 3 \, a^{3}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(32670 \, a^{3} \cosh\left(x\right)^{8} - 10395 \, a^{3} \cosh\left(x\right)^{6} + 1925 \, a^{3} \cosh\left(x\right)^{4} - 165 \, a^{3} \cosh\left(x\right)^{2} + 3 \, a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{4} + 104 \, {\left(3630 \, a^{3} \cosh\left(x\right)^{9} - 1485 \, a^{3} \cosh\left(x\right)^{7} + 385 \, a^{3} \cosh\left(x\right)^{5} - 55 \, a^{3} \cosh\left(x\right)^{3} + 3 \, a^{3} \cosh\left(x\right) + {\left(3630 \, a^{3} \cosh\left(x\right)^{9} - 1485 \, a^{3} \cosh\left(x\right)^{7} + 385 \, a^{3} \cosh\left(x\right)^{5} - 55 \, a^{3} \cosh\left(x\right)^{3} + 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(3630 \, a^{3} \cosh\left(x\right)^{9} - 1485 \, a^{3} \cosh\left(x\right)^{7} + 385 \, a^{3} \cosh\left(x\right)^{5} - 55 \, a^{3} \cosh\left(x\right)^{3} + 3 \, a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{3} + a^{3} + 13 \, {\left(8712 \, a^{3} \cosh\left(x\right)^{10} - 4455 \, a^{3} \cosh\left(x\right)^{8} + 1540 \, a^{3} \cosh\left(x\right)^{6} - 330 \, a^{3} \cosh\left(x\right)^{4} + 36 \, a^{3} \cosh\left(x\right)^{2} - a^{3} + {\left(8712 \, a^{3} \cosh\left(x\right)^{10} - 4455 \, a^{3} \cosh\left(x\right)^{8} + 1540 \, a^{3} \cosh\left(x\right)^{6} - 330 \, a^{3} \cosh\left(x\right)^{4} + 36 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(8712 \, a^{3} \cosh\left(x\right)^{10} - 4455 \, a^{3} \cosh\left(x\right)^{8} + 1540 \, a^{3} \cosh\left(x\right)^{6} - 330 \, a^{3} \cosh\left(x\right)^{4} + 36 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} + {\left(1716 \, a^{3} \cosh\left(x\right)^{12} - 1287 \, a^{3} \cosh\left(x\right)^{10} + 715 \, a^{3} \cosh\left(x\right)^{8} - 286 \, a^{3} \cosh\left(x\right)^{6} + 78 \, a^{3} \cosh\left(x\right)^{4} - 13 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(1716 \, a^{3} \cosh\left(x\right)^{12} - 1287 \, a^{3} \cosh\left(x\right)^{10} + 715 \, a^{3} \cosh\left(x\right)^{8} - 286 \, a^{3} \cosh\left(x\right)^{6} + 78 \, a^{3} \cosh\left(x\right)^{4} - 13 \, a^{3} \cosh\left(x\right)^{2} + a^{3}\right)} e^{\left(2 \, x\right)} + 26 \, {\left(792 \, a^{3} \cosh\left(x\right)^{11} - 495 \, a^{3} \cosh\left(x\right)^{9} + 220 \, a^{3} \cosh\left(x\right)^{7} - 66 \, a^{3} \cosh\left(x\right)^{5} + 12 \, a^{3} \cosh\left(x\right)^{3} - a^{3} \cosh\left(x\right) + {\left(792 \, a^{3} \cosh\left(x\right)^{11} - 495 \, a^{3} \cosh\left(x\right)^{9} + 220 \, a^{3} \cosh\left(x\right)^{7} - 66 \, a^{3} \cosh\left(x\right)^{5} + 12 \, a^{3} \cosh\left(x\right)^{3} - a^{3} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(792 \, a^{3} \cosh\left(x\right)^{11} - 495 \, a^{3} \cosh\left(x\right)^{9} + 220 \, a^{3} \cosh\left(x\right)^{7} - 66 \, a^{3} \cosh\left(x\right)^{5} + 12 \, a^{3} \cosh\left(x\right)^{3} - a^{3} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} - 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} - 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)}}{3003 \, {\left(26 \, \cosh\left(x\right) e^{\left(2 \, x\right)} \sinh\left(x\right)^{25} + e^{\left(2 \, x\right)} \sinh\left(x\right)^{26} + 13 \, {\left(25 \, \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{24} + 104 \, {\left(25 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{23} + 26 \, {\left(575 \, \cosh\left(x\right)^{4} - 138 \, \cosh\left(x\right)^{2} + 3\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{22} + 572 \, {\left(115 \, \cosh\left(x\right)^{5} - 46 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{21} + 286 \, {\left(805 \, \cosh\left(x\right)^{6} - 483 \, \cosh\left(x\right)^{4} + 63 \, \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{20} + 1144 \, {\left(575 \, \cosh\left(x\right)^{7} - 483 \, \cosh\left(x\right)^{5} + 105 \, \cosh\left(x\right)^{3} - 5 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{19} + 143 \, {\left(10925 \, \cosh\left(x\right)^{8} - 12236 \, \cosh\left(x\right)^{6} + 3990 \, \cosh\left(x\right)^{4} - 380 \, \cosh\left(x\right)^{2} + 5\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{18} + 286 \, {\left(10925 \, \cosh\left(x\right)^{9} - 15732 \, \cosh\left(x\right)^{7} + 7182 \, \cosh\left(x\right)^{5} - 1140 \, \cosh\left(x\right)^{3} + 45 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{17} + 143 \, {\left(37145 \, \cosh\left(x\right)^{10} - 66861 \, \cosh\left(x\right)^{8} + 40698 \, \cosh\left(x\right)^{6} - 9690 \, \cosh\left(x\right)^{4} + 765 \, \cosh\left(x\right)^{2} - 9\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{16} + 208 \, {\left(37145 \, \cosh\left(x\right)^{11} - 81719 \, \cosh\left(x\right)^{9} + 63954 \, \cosh\left(x\right)^{7} - 21318 \, \cosh\left(x\right)^{5} + 2805 \, \cosh\left(x\right)^{3} - 99 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{15} + 52 \, {\left(185725 \, \cosh\left(x\right)^{12} - 490314 \, \cosh\left(x\right)^{10} + 479655 \, \cosh\left(x\right)^{8} - 213180 \, \cosh\left(x\right)^{6} + 42075 \, \cosh\left(x\right)^{4} - 2970 \, \cosh\left(x\right)^{2} + 33\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{14} + 8 \, {\left(1300075 \, \cosh\left(x\right)^{13} - 4056234 \, \cosh\left(x\right)^{11} + 4849845 \, \cosh\left(x\right)^{9} - 2771340 \, \cosh\left(x\right)^{7} + 765765 \, \cosh\left(x\right)^{5} - 90090 \, \cosh\left(x\right)^{3} + 3003 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{13} + 52 \, {\left(185725 \, \cosh\left(x\right)^{14} - 676039 \, \cosh\left(x\right)^{12} + 969969 \, \cosh\left(x\right)^{10} - 692835 \, \cosh\left(x\right)^{8} + 255255 \, \cosh\left(x\right)^{6} - 45045 \, \cosh\left(x\right)^{4} + 3003 \, \cosh\left(x\right)^{2} - 33\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{12} + 208 \, {\left(37145 \, \cosh\left(x\right)^{15} - 156009 \, \cosh\left(x\right)^{13} + 264537 \, \cosh\left(x\right)^{11} - 230945 \, \cosh\left(x\right)^{9} + 109395 \, \cosh\left(x\right)^{7} - 27027 \, \cosh\left(x\right)^{5} + 3003 \, \cosh\left(x\right)^{3} - 99 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{11} + 143 \, {\left(37145 \, \cosh\left(x\right)^{16} - 178296 \, \cosh\left(x\right)^{14} + 352716 \, \cosh\left(x\right)^{12} - 369512 \, \cosh\left(x\right)^{10} + 218790 \, \cosh\left(x\right)^{8} - 72072 \, \cosh\left(x\right)^{6} + 12012 \, \cosh\left(x\right)^{4} - 792 \, \cosh\left(x\right)^{2} + 9\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{10} + 286 \, {\left(10925 \, \cosh\left(x\right)^{17} - 59432 \, \cosh\left(x\right)^{15} + 135660 \, \cosh\left(x\right)^{13} - 167960 \, \cosh\left(x\right)^{11} + 121550 \, \cosh\left(x\right)^{9} - 51480 \, \cosh\left(x\right)^{7} + 12012 \, \cosh\left(x\right)^{5} - 1320 \, \cosh\left(x\right)^{3} + 45 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{9} + 143 \, {\left(10925 \, \cosh\left(x\right)^{18} - 66861 \, \cosh\left(x\right)^{16} + 174420 \, \cosh\left(x\right)^{14} - 251940 \, \cosh\left(x\right)^{12} + 218790 \, \cosh\left(x\right)^{10} - 115830 \, \cosh\left(x\right)^{8} + 36036 \, \cosh\left(x\right)^{6} - 5940 \, \cosh\left(x\right)^{4} + 405 \, \cosh\left(x\right)^{2} - 5\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{8} + 1144 \, {\left(575 \, \cosh\left(x\right)^{19} - 3933 \, \cosh\left(x\right)^{17} + 11628 \, \cosh\left(x\right)^{15} - 19380 \, \cosh\left(x\right)^{13} + 19890 \, \cosh\left(x\right)^{11} - 12870 \, \cosh\left(x\right)^{9} + 5148 \, \cosh\left(x\right)^{7} - 1188 \, \cosh\left(x\right)^{5} + 135 \, \cosh\left(x\right)^{3} - 5 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{7} + 286 \, {\left(805 \, \cosh\left(x\right)^{20} - 6118 \, \cosh\left(x\right)^{18} + 20349 \, \cosh\left(x\right)^{16} - 38760 \, \cosh\left(x\right)^{14} + 46410 \, \cosh\left(x\right)^{12} - 36036 \, \cosh\left(x\right)^{10} + 18018 \, \cosh\left(x\right)^{8} - 5544 \, \cosh\left(x\right)^{6} + 945 \, \cosh\left(x\right)^{4} - 70 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{6} + 572 \, {\left(115 \, \cosh\left(x\right)^{21} - 966 \, \cosh\left(x\right)^{19} + 3591 \, \cosh\left(x\right)^{17} - 7752 \, \cosh\left(x\right)^{15} + 10710 \, \cosh\left(x\right)^{13} - 9828 \, \cosh\left(x\right)^{11} + 6006 \, \cosh\left(x\right)^{9} - 2376 \, \cosh\left(x\right)^{7} + 567 \, \cosh\left(x\right)^{5} - 70 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{5} + 26 \, {\left(575 \, \cosh\left(x\right)^{22} - 5313 \, \cosh\left(x\right)^{20} + 21945 \, \cosh\left(x\right)^{18} - 53295 \, \cosh\left(x\right)^{16} + 84150 \, \cosh\left(x\right)^{14} - 90090 \, \cosh\left(x\right)^{12} + 66066 \, \cosh\left(x\right)^{10} - 32670 \, \cosh\left(x\right)^{8} + 10395 \, \cosh\left(x\right)^{6} - 1925 \, \cosh\left(x\right)^{4} + 165 \, \cosh\left(x\right)^{2} - 3\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{4} + 104 \, {\left(25 \, \cosh\left(x\right)^{23} - 253 \, \cosh\left(x\right)^{21} + 1155 \, \cosh\left(x\right)^{19} - 3135 \, \cosh\left(x\right)^{17} + 5610 \, \cosh\left(x\right)^{15} - 6930 \, \cosh\left(x\right)^{13} + 6006 \, \cosh\left(x\right)^{11} - 3630 \, \cosh\left(x\right)^{9} + 1485 \, \cosh\left(x\right)^{7} - 385 \, \cosh\left(x\right)^{5} + 55 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{3} + 13 \, {\left(25 \, \cosh\left(x\right)^{24} - 276 \, \cosh\left(x\right)^{22} + 1386 \, \cosh\left(x\right)^{20} - 4180 \, \cosh\left(x\right)^{18} + 8415 \, \cosh\left(x\right)^{16} - 11880 \, \cosh\left(x\right)^{14} + 12012 \, \cosh\left(x\right)^{12} - 8712 \, \cosh\left(x\right)^{10} + 4455 \, \cosh\left(x\right)^{8} - 1540 \, \cosh\left(x\right)^{6} + 330 \, \cosh\left(x\right)^{4} - 36 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 26 \, {\left(\cosh\left(x\right)^{25} - 12 \, \cosh\left(x\right)^{23} + 66 \, \cosh\left(x\right)^{21} - 220 \, \cosh\left(x\right)^{19} + 495 \, \cosh\left(x\right)^{17} - 792 \, \cosh\left(x\right)^{15} + 924 \, \cosh\left(x\right)^{13} - 792 \, \cosh\left(x\right)^{11} + 495 \, \cosh\left(x\right)^{9} - 220 \, \cosh\left(x\right)^{7} + 66 \, \cosh\left(x\right)^{5} - 12 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right) + {\left(\cosh\left(x\right)^{26} - 13 \, \cosh\left(x\right)^{24} + 78 \, \cosh\left(x\right)^{22} - 286 \, \cosh\left(x\right)^{20} + 715 \, \cosh\left(x\right)^{18} - 1287 \, \cosh\left(x\right)^{16} + 1716 \, \cosh\left(x\right)^{14} - 1716 \, \cosh\left(x\right)^{12} + 1287 \, \cosh\left(x\right)^{10} - 715 \, \cosh\left(x\right)^{8} + 286 \, \cosh\left(x\right)^{6} - 78 \, \cosh\left(x\right)^{4} + 13 \, \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)}\right)}}"," ",0,"-2048/3003*(1716*a^3*cosh(x)^12 - 1287*a^3*cosh(x)^10 + 1716*(a^3*e^(4*x) - 2*a^3*e^(2*x) + a^3)*sinh(x)^12 + 20592*(a^3*cosh(x)*e^(4*x) - 2*a^3*cosh(x)*e^(2*x) + a^3*cosh(x))*sinh(x)^11 + 715*a^3*cosh(x)^8 + 1287*(88*a^3*cosh(x)^2 - a^3 + (88*a^3*cosh(x)^2 - a^3)*e^(4*x) - 2*(88*a^3*cosh(x)^2 - a^3)*e^(2*x))*sinh(x)^10 + 4290*(88*a^3*cosh(x)^3 - 3*a^3*cosh(x) + (88*a^3*cosh(x)^3 - 3*a^3*cosh(x))*e^(4*x) - 2*(88*a^3*cosh(x)^3 - 3*a^3*cosh(x))*e^(2*x))*sinh(x)^9 - 286*a^3*cosh(x)^6 + 715*(1188*a^3*cosh(x)^4 - 81*a^3*cosh(x)^2 + a^3 + (1188*a^3*cosh(x)^4 - 81*a^3*cosh(x)^2 + a^3)*e^(4*x) - 2*(1188*a^3*cosh(x)^4 - 81*a^3*cosh(x)^2 + a^3)*e^(2*x))*sinh(x)^8 + 1144*(1188*a^3*cosh(x)^5 - 135*a^3*cosh(x)^3 + 5*a^3*cosh(x) + (1188*a^3*cosh(x)^5 - 135*a^3*cosh(x)^3 + 5*a^3*cosh(x))*e^(4*x) - 2*(1188*a^3*cosh(x)^5 - 135*a^3*cosh(x)^3 + 5*a^3*cosh(x))*e^(2*x))*sinh(x)^7 + 78*a^3*cosh(x)^4 + 286*(5544*a^3*cosh(x)^6 - 945*a^3*cosh(x)^4 + 70*a^3*cosh(x)^2 - a^3 + (5544*a^3*cosh(x)^6 - 945*a^3*cosh(x)^4 + 70*a^3*cosh(x)^2 - a^3)*e^(4*x) - 2*(5544*a^3*cosh(x)^6 - 945*a^3*cosh(x)^4 + 70*a^3*cosh(x)^2 - a^3)*e^(2*x))*sinh(x)^6 + 572*(2376*a^3*cosh(x)^7 - 567*a^3*cosh(x)^5 + 70*a^3*cosh(x)^3 - 3*a^3*cosh(x) + (2376*a^3*cosh(x)^7 - 567*a^3*cosh(x)^5 + 70*a^3*cosh(x)^3 - 3*a^3*cosh(x))*e^(4*x) - 2*(2376*a^3*cosh(x)^7 - 567*a^3*cosh(x)^5 + 70*a^3*cosh(x)^3 - 3*a^3*cosh(x))*e^(2*x))*sinh(x)^5 - 13*a^3*cosh(x)^2 + 26*(32670*a^3*cosh(x)^8 - 10395*a^3*cosh(x)^6 + 1925*a^3*cosh(x)^4 - 165*a^3*cosh(x)^2 + 3*a^3 + (32670*a^3*cosh(x)^8 - 10395*a^3*cosh(x)^6 + 1925*a^3*cosh(x)^4 - 165*a^3*cosh(x)^2 + 3*a^3)*e^(4*x) - 2*(32670*a^3*cosh(x)^8 - 10395*a^3*cosh(x)^6 + 1925*a^3*cosh(x)^4 - 165*a^3*cosh(x)^2 + 3*a^3)*e^(2*x))*sinh(x)^4 + 104*(3630*a^3*cosh(x)^9 - 1485*a^3*cosh(x)^7 + 385*a^3*cosh(x)^5 - 55*a^3*cosh(x)^3 + 3*a^3*cosh(x) + (3630*a^3*cosh(x)^9 - 1485*a^3*cosh(x)^7 + 385*a^3*cosh(x)^5 - 55*a^3*cosh(x)^3 + 3*a^3*cosh(x))*e^(4*x) - 2*(3630*a^3*cosh(x)^9 - 1485*a^3*cosh(x)^7 + 385*a^3*cosh(x)^5 - 55*a^3*cosh(x)^3 + 3*a^3*cosh(x))*e^(2*x))*sinh(x)^3 + a^3 + 13*(8712*a^3*cosh(x)^10 - 4455*a^3*cosh(x)^8 + 1540*a^3*cosh(x)^6 - 330*a^3*cosh(x)^4 + 36*a^3*cosh(x)^2 - a^3 + (8712*a^3*cosh(x)^10 - 4455*a^3*cosh(x)^8 + 1540*a^3*cosh(x)^6 - 330*a^3*cosh(x)^4 + 36*a^3*cosh(x)^2 - a^3)*e^(4*x) - 2*(8712*a^3*cosh(x)^10 - 4455*a^3*cosh(x)^8 + 1540*a^3*cosh(x)^6 - 330*a^3*cosh(x)^4 + 36*a^3*cosh(x)^2 - a^3)*e^(2*x))*sinh(x)^2 + (1716*a^3*cosh(x)^12 - 1287*a^3*cosh(x)^10 + 715*a^3*cosh(x)^8 - 286*a^3*cosh(x)^6 + 78*a^3*cosh(x)^4 - 13*a^3*cosh(x)^2 + a^3)*e^(4*x) - 2*(1716*a^3*cosh(x)^12 - 1287*a^3*cosh(x)^10 + 715*a^3*cosh(x)^8 - 286*a^3*cosh(x)^6 + 78*a^3*cosh(x)^4 - 13*a^3*cosh(x)^2 + a^3)*e^(2*x) + 26*(792*a^3*cosh(x)^11 - 495*a^3*cosh(x)^9 + 220*a^3*cosh(x)^7 - 66*a^3*cosh(x)^5 + 12*a^3*cosh(x)^3 - a^3*cosh(x) + (792*a^3*cosh(x)^11 - 495*a^3*cosh(x)^9 + 220*a^3*cosh(x)^7 - 66*a^3*cosh(x)^5 + 12*a^3*cosh(x)^3 - a^3*cosh(x))*e^(4*x) - 2*(792*a^3*cosh(x)^11 - 495*a^3*cosh(x)^9 + 220*a^3*cosh(x)^7 - 66*a^3*cosh(x)^5 + 12*a^3*cosh(x)^3 - a^3*cosh(x))*e^(2*x))*sinh(x))*sqrt(a/(e^(8*x) - 4*e^(6*x) + 6*e^(4*x) - 4*e^(2*x) + 1))*e^(2*x)/(26*cosh(x)*e^(2*x)*sinh(x)^25 + e^(2*x)*sinh(x)^26 + 13*(25*cosh(x)^2 - 1)*e^(2*x)*sinh(x)^24 + 104*(25*cosh(x)^3 - 3*cosh(x))*e^(2*x)*sinh(x)^23 + 26*(575*cosh(x)^4 - 138*cosh(x)^2 + 3)*e^(2*x)*sinh(x)^22 + 572*(115*cosh(x)^5 - 46*cosh(x)^3 + 3*cosh(x))*e^(2*x)*sinh(x)^21 + 286*(805*cosh(x)^6 - 483*cosh(x)^4 + 63*cosh(x)^2 - 1)*e^(2*x)*sinh(x)^20 + 1144*(575*cosh(x)^7 - 483*cosh(x)^5 + 105*cosh(x)^3 - 5*cosh(x))*e^(2*x)*sinh(x)^19 + 143*(10925*cosh(x)^8 - 12236*cosh(x)^6 + 3990*cosh(x)^4 - 380*cosh(x)^2 + 5)*e^(2*x)*sinh(x)^18 + 286*(10925*cosh(x)^9 - 15732*cosh(x)^7 + 7182*cosh(x)^5 - 1140*cosh(x)^3 + 45*cosh(x))*e^(2*x)*sinh(x)^17 + 143*(37145*cosh(x)^10 - 66861*cosh(x)^8 + 40698*cosh(x)^6 - 9690*cosh(x)^4 + 765*cosh(x)^2 - 9)*e^(2*x)*sinh(x)^16 + 208*(37145*cosh(x)^11 - 81719*cosh(x)^9 + 63954*cosh(x)^7 - 21318*cosh(x)^5 + 2805*cosh(x)^3 - 99*cosh(x))*e^(2*x)*sinh(x)^15 + 52*(185725*cosh(x)^12 - 490314*cosh(x)^10 + 479655*cosh(x)^8 - 213180*cosh(x)^6 + 42075*cosh(x)^4 - 2970*cosh(x)^2 + 33)*e^(2*x)*sinh(x)^14 + 8*(1300075*cosh(x)^13 - 4056234*cosh(x)^11 + 4849845*cosh(x)^9 - 2771340*cosh(x)^7 + 765765*cosh(x)^5 - 90090*cosh(x)^3 + 3003*cosh(x))*e^(2*x)*sinh(x)^13 + 52*(185725*cosh(x)^14 - 676039*cosh(x)^12 + 969969*cosh(x)^10 - 692835*cosh(x)^8 + 255255*cosh(x)^6 - 45045*cosh(x)^4 + 3003*cosh(x)^2 - 33)*e^(2*x)*sinh(x)^12 + 208*(37145*cosh(x)^15 - 156009*cosh(x)^13 + 264537*cosh(x)^11 - 230945*cosh(x)^9 + 109395*cosh(x)^7 - 27027*cosh(x)^5 + 3003*cosh(x)^3 - 99*cosh(x))*e^(2*x)*sinh(x)^11 + 143*(37145*cosh(x)^16 - 178296*cosh(x)^14 + 352716*cosh(x)^12 - 369512*cosh(x)^10 + 218790*cosh(x)^8 - 72072*cosh(x)^6 + 12012*cosh(x)^4 - 792*cosh(x)^2 + 9)*e^(2*x)*sinh(x)^10 + 286*(10925*cosh(x)^17 - 59432*cosh(x)^15 + 135660*cosh(x)^13 - 167960*cosh(x)^11 + 121550*cosh(x)^9 - 51480*cosh(x)^7 + 12012*cosh(x)^5 - 1320*cosh(x)^3 + 45*cosh(x))*e^(2*x)*sinh(x)^9 + 143*(10925*cosh(x)^18 - 66861*cosh(x)^16 + 174420*cosh(x)^14 - 251940*cosh(x)^12 + 218790*cosh(x)^10 - 115830*cosh(x)^8 + 36036*cosh(x)^6 - 5940*cosh(x)^4 + 405*cosh(x)^2 - 5)*e^(2*x)*sinh(x)^8 + 1144*(575*cosh(x)^19 - 3933*cosh(x)^17 + 11628*cosh(x)^15 - 19380*cosh(x)^13 + 19890*cosh(x)^11 - 12870*cosh(x)^9 + 5148*cosh(x)^7 - 1188*cosh(x)^5 + 135*cosh(x)^3 - 5*cosh(x))*e^(2*x)*sinh(x)^7 + 286*(805*cosh(x)^20 - 6118*cosh(x)^18 + 20349*cosh(x)^16 - 38760*cosh(x)^14 + 46410*cosh(x)^12 - 36036*cosh(x)^10 + 18018*cosh(x)^8 - 5544*cosh(x)^6 + 945*cosh(x)^4 - 70*cosh(x)^2 + 1)*e^(2*x)*sinh(x)^6 + 572*(115*cosh(x)^21 - 966*cosh(x)^19 + 3591*cosh(x)^17 - 7752*cosh(x)^15 + 10710*cosh(x)^13 - 9828*cosh(x)^11 + 6006*cosh(x)^9 - 2376*cosh(x)^7 + 567*cosh(x)^5 - 70*cosh(x)^3 + 3*cosh(x))*e^(2*x)*sinh(x)^5 + 26*(575*cosh(x)^22 - 5313*cosh(x)^20 + 21945*cosh(x)^18 - 53295*cosh(x)^16 + 84150*cosh(x)^14 - 90090*cosh(x)^12 + 66066*cosh(x)^10 - 32670*cosh(x)^8 + 10395*cosh(x)^6 - 1925*cosh(x)^4 + 165*cosh(x)^2 - 3)*e^(2*x)*sinh(x)^4 + 104*(25*cosh(x)^23 - 253*cosh(x)^21 + 1155*cosh(x)^19 - 3135*cosh(x)^17 + 5610*cosh(x)^15 - 6930*cosh(x)^13 + 6006*cosh(x)^11 - 3630*cosh(x)^9 + 1485*cosh(x)^7 - 385*cosh(x)^5 + 55*cosh(x)^3 - 3*cosh(x))*e^(2*x)*sinh(x)^3 + 13*(25*cosh(x)^24 - 276*cosh(x)^22 + 1386*cosh(x)^20 - 4180*cosh(x)^18 + 8415*cosh(x)^16 - 11880*cosh(x)^14 + 12012*cosh(x)^12 - 8712*cosh(x)^10 + 4455*cosh(x)^8 - 1540*cosh(x)^6 + 330*cosh(x)^4 - 36*cosh(x)^2 + 1)*e^(2*x)*sinh(x)^2 + 26*(cosh(x)^25 - 12*cosh(x)^23 + 66*cosh(x)^21 - 220*cosh(x)^19 + 495*cosh(x)^17 - 792*cosh(x)^15 + 924*cosh(x)^13 - 792*cosh(x)^11 + 495*cosh(x)^9 - 220*cosh(x)^7 + 66*cosh(x)^5 - 12*cosh(x)^3 + cosh(x))*e^(2*x)*sinh(x) + (cosh(x)^26 - 13*cosh(x)^24 + 78*cosh(x)^22 - 286*cosh(x)^20 + 715*cosh(x)^18 - 1287*cosh(x)^16 + 1716*cosh(x)^14 - 1716*cosh(x)^12 + 1287*cosh(x)^10 - 715*cosh(x)^8 + 286*cosh(x)^6 - 78*cosh(x)^4 + 13*cosh(x)^2 - 1)*e^(2*x))","B",0
43,1,1493,0,0.779375," ","integrate((a*csch(x)^4)^(5/2),x, algorithm=""fricas"")","-\frac{256 \, {\left(126 \, a^{2} \cosh\left(x\right)^{8} + 126 \, {\left(a^{2} e^{\left(4 \, x\right)} - 2 \, a^{2} e^{\left(2 \, x\right)} + a^{2}\right)} \sinh\left(x\right)^{8} - 84 \, a^{2} \cosh\left(x\right)^{6} + 1008 \, {\left(a^{2} \cosh\left(x\right) e^{\left(4 \, x\right)} - 2 \, a^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} + a^{2} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 84 \, {\left(42 \, a^{2} \cosh\left(x\right)^{2} - a^{2} + {\left(42 \, a^{2} \cosh\left(x\right)^{2} - a^{2}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(42 \, a^{2} \cosh\left(x\right)^{2} - a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{6} + 36 \, a^{2} \cosh\left(x\right)^{4} + 504 \, {\left(14 \, a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right) + {\left(14 \, a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(14 \, a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{5} + 36 \, {\left(245 \, a^{2} \cosh\left(x\right)^{4} - 35 \, a^{2} \cosh\left(x\right)^{2} + a^{2} + {\left(245 \, a^{2} \cosh\left(x\right)^{4} - 35 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(245 \, a^{2} \cosh\left(x\right)^{4} - 35 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{4} - 9 \, a^{2} \cosh\left(x\right)^{2} + 48 \, {\left(147 \, a^{2} \cosh\left(x\right)^{5} - 35 \, a^{2} \cosh\left(x\right)^{3} + 3 \, a^{2} \cosh\left(x\right) + {\left(147 \, a^{2} \cosh\left(x\right)^{5} - 35 \, a^{2} \cosh\left(x\right)^{3} + 3 \, a^{2} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(147 \, a^{2} \cosh\left(x\right)^{5} - 35 \, a^{2} \cosh\left(x\right)^{3} + 3 \, a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{3} + 9 \, {\left(392 \, a^{2} \cosh\left(x\right)^{6} - 140 \, a^{2} \cosh\left(x\right)^{4} + 24 \, a^{2} \cosh\left(x\right)^{2} - a^{2} + {\left(392 \, a^{2} \cosh\left(x\right)^{6} - 140 \, a^{2} \cosh\left(x\right)^{4} + 24 \, a^{2} \cosh\left(x\right)^{2} - a^{2}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(392 \, a^{2} \cosh\left(x\right)^{6} - 140 \, a^{2} \cosh\left(x\right)^{4} + 24 \, a^{2} \cosh\left(x\right)^{2} - a^{2}\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{2} + a^{2} + {\left(126 \, a^{2} \cosh\left(x\right)^{8} - 84 \, a^{2} \cosh\left(x\right)^{6} + 36 \, a^{2} \cosh\left(x\right)^{4} - 9 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(4 \, x\right)} - 2 \, {\left(126 \, a^{2} \cosh\left(x\right)^{8} - 84 \, a^{2} \cosh\left(x\right)^{6} + 36 \, a^{2} \cosh\left(x\right)^{4} - 9 \, a^{2} \cosh\left(x\right)^{2} + a^{2}\right)} e^{\left(2 \, x\right)} + 18 \, {\left(56 \, a^{2} \cosh\left(x\right)^{7} - 28 \, a^{2} \cosh\left(x\right)^{5} + 8 \, a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right) + {\left(56 \, a^{2} \cosh\left(x\right)^{7} - 28 \, a^{2} \cosh\left(x\right)^{5} + 8 \, a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(56 \, a^{2} \cosh\left(x\right)^{7} - 28 \, a^{2} \cosh\left(x\right)^{5} + 8 \, a^{2} \cosh\left(x\right)^{3} - a^{2} \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} - 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} - 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)}}{315 \, {\left(18 \, \cosh\left(x\right) e^{\left(2 \, x\right)} \sinh\left(x\right)^{17} + e^{\left(2 \, x\right)} \sinh\left(x\right)^{18} + 9 \, {\left(17 \, \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{16} + 48 \, {\left(17 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{15} + 36 \, {\left(85 \, \cosh\left(x\right)^{4} - 30 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{14} + 504 \, {\left(17 \, \cosh\left(x\right)^{5} - 10 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{13} + 84 \, {\left(221 \, \cosh\left(x\right)^{6} - 195 \, \cosh\left(x\right)^{4} + 39 \, \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{12} + 144 \, {\left(221 \, \cosh\left(x\right)^{7} - 273 \, \cosh\left(x\right)^{5} + 91 \, \cosh\left(x\right)^{3} - 7 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{11} + 18 \, {\left(2431 \, \cosh\left(x\right)^{8} - 4004 \, \cosh\left(x\right)^{6} + 2002 \, \cosh\left(x\right)^{4} - 308 \, \cosh\left(x\right)^{2} + 7\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{10} + 4 \, {\left(12155 \, \cosh\left(x\right)^{9} - 25740 \, \cosh\left(x\right)^{7} + 18018 \, \cosh\left(x\right)^{5} - 4620 \, \cosh\left(x\right)^{3} + 315 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{9} + 18 \, {\left(2431 \, \cosh\left(x\right)^{10} - 6435 \, \cosh\left(x\right)^{8} + 6006 \, \cosh\left(x\right)^{6} - 2310 \, \cosh\left(x\right)^{4} + 315 \, \cosh\left(x\right)^{2} - 7\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{8} + 144 \, {\left(221 \, \cosh\left(x\right)^{11} - 715 \, \cosh\left(x\right)^{9} + 858 \, \cosh\left(x\right)^{7} - 462 \, \cosh\left(x\right)^{5} + 105 \, \cosh\left(x\right)^{3} - 7 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{7} + 84 \, {\left(221 \, \cosh\left(x\right)^{12} - 858 \, \cosh\left(x\right)^{10} + 1287 \, \cosh\left(x\right)^{8} - 924 \, \cosh\left(x\right)^{6} + 315 \, \cosh\left(x\right)^{4} - 42 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{6} + 504 \, {\left(17 \, \cosh\left(x\right)^{13} - 78 \, \cosh\left(x\right)^{11} + 143 \, \cosh\left(x\right)^{9} - 132 \, \cosh\left(x\right)^{7} + 63 \, \cosh\left(x\right)^{5} - 14 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{5} + 36 \, {\left(85 \, \cosh\left(x\right)^{14} - 455 \, \cosh\left(x\right)^{12} + 1001 \, \cosh\left(x\right)^{10} - 1155 \, \cosh\left(x\right)^{8} + 735 \, \cosh\left(x\right)^{6} - 245 \, \cosh\left(x\right)^{4} + 35 \, \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{4} + 48 \, {\left(17 \, \cosh\left(x\right)^{15} - 105 \, \cosh\left(x\right)^{13} + 273 \, \cosh\left(x\right)^{11} - 385 \, \cosh\left(x\right)^{9} + 315 \, \cosh\left(x\right)^{7} - 147 \, \cosh\left(x\right)^{5} + 35 \, \cosh\left(x\right)^{3} - 3 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{3} + 9 \, {\left(17 \, \cosh\left(x\right)^{16} - 120 \, \cosh\left(x\right)^{14} + 364 \, \cosh\left(x\right)^{12} - 616 \, \cosh\left(x\right)^{10} + 630 \, \cosh\left(x\right)^{8} - 392 \, \cosh\left(x\right)^{6} + 140 \, \cosh\left(x\right)^{4} - 24 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 18 \, {\left(\cosh\left(x\right)^{17} - 8 \, \cosh\left(x\right)^{15} + 28 \, \cosh\left(x\right)^{13} - 56 \, \cosh\left(x\right)^{11} + 70 \, \cosh\left(x\right)^{9} - 56 \, \cosh\left(x\right)^{7} + 28 \, \cosh\left(x\right)^{5} - 8 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right) + {\left(\cosh\left(x\right)^{18} - 9 \, \cosh\left(x\right)^{16} + 36 \, \cosh\left(x\right)^{14} - 84 \, \cosh\left(x\right)^{12} + 126 \, \cosh\left(x\right)^{10} - 126 \, \cosh\left(x\right)^{8} + 84 \, \cosh\left(x\right)^{6} - 36 \, \cosh\left(x\right)^{4} + 9 \, \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)}\right)}}"," ",0,"-256/315*(126*a^2*cosh(x)^8 + 126*(a^2*e^(4*x) - 2*a^2*e^(2*x) + a^2)*sinh(x)^8 - 84*a^2*cosh(x)^6 + 1008*(a^2*cosh(x)*e^(4*x) - 2*a^2*cosh(x)*e^(2*x) + a^2*cosh(x))*sinh(x)^7 + 84*(42*a^2*cosh(x)^2 - a^2 + (42*a^2*cosh(x)^2 - a^2)*e^(4*x) - 2*(42*a^2*cosh(x)^2 - a^2)*e^(2*x))*sinh(x)^6 + 36*a^2*cosh(x)^4 + 504*(14*a^2*cosh(x)^3 - a^2*cosh(x) + (14*a^2*cosh(x)^3 - a^2*cosh(x))*e^(4*x) - 2*(14*a^2*cosh(x)^3 - a^2*cosh(x))*e^(2*x))*sinh(x)^5 + 36*(245*a^2*cosh(x)^4 - 35*a^2*cosh(x)^2 + a^2 + (245*a^2*cosh(x)^4 - 35*a^2*cosh(x)^2 + a^2)*e^(4*x) - 2*(245*a^2*cosh(x)^4 - 35*a^2*cosh(x)^2 + a^2)*e^(2*x))*sinh(x)^4 - 9*a^2*cosh(x)^2 + 48*(147*a^2*cosh(x)^5 - 35*a^2*cosh(x)^3 + 3*a^2*cosh(x) + (147*a^2*cosh(x)^5 - 35*a^2*cosh(x)^3 + 3*a^2*cosh(x))*e^(4*x) - 2*(147*a^2*cosh(x)^5 - 35*a^2*cosh(x)^3 + 3*a^2*cosh(x))*e^(2*x))*sinh(x)^3 + 9*(392*a^2*cosh(x)^6 - 140*a^2*cosh(x)^4 + 24*a^2*cosh(x)^2 - a^2 + (392*a^2*cosh(x)^6 - 140*a^2*cosh(x)^4 + 24*a^2*cosh(x)^2 - a^2)*e^(4*x) - 2*(392*a^2*cosh(x)^6 - 140*a^2*cosh(x)^4 + 24*a^2*cosh(x)^2 - a^2)*e^(2*x))*sinh(x)^2 + a^2 + (126*a^2*cosh(x)^8 - 84*a^2*cosh(x)^6 + 36*a^2*cosh(x)^4 - 9*a^2*cosh(x)^2 + a^2)*e^(4*x) - 2*(126*a^2*cosh(x)^8 - 84*a^2*cosh(x)^6 + 36*a^2*cosh(x)^4 - 9*a^2*cosh(x)^2 + a^2)*e^(2*x) + 18*(56*a^2*cosh(x)^7 - 28*a^2*cosh(x)^5 + 8*a^2*cosh(x)^3 - a^2*cosh(x) + (56*a^2*cosh(x)^7 - 28*a^2*cosh(x)^5 + 8*a^2*cosh(x)^3 - a^2*cosh(x))*e^(4*x) - 2*(56*a^2*cosh(x)^7 - 28*a^2*cosh(x)^5 + 8*a^2*cosh(x)^3 - a^2*cosh(x))*e^(2*x))*sinh(x))*sqrt(a/(e^(8*x) - 4*e^(6*x) + 6*e^(4*x) - 4*e^(2*x) + 1))*e^(2*x)/(18*cosh(x)*e^(2*x)*sinh(x)^17 + e^(2*x)*sinh(x)^18 + 9*(17*cosh(x)^2 - 1)*e^(2*x)*sinh(x)^16 + 48*(17*cosh(x)^3 - 3*cosh(x))*e^(2*x)*sinh(x)^15 + 36*(85*cosh(x)^4 - 30*cosh(x)^2 + 1)*e^(2*x)*sinh(x)^14 + 504*(17*cosh(x)^5 - 10*cosh(x)^3 + cosh(x))*e^(2*x)*sinh(x)^13 + 84*(221*cosh(x)^6 - 195*cosh(x)^4 + 39*cosh(x)^2 - 1)*e^(2*x)*sinh(x)^12 + 144*(221*cosh(x)^7 - 273*cosh(x)^5 + 91*cosh(x)^3 - 7*cosh(x))*e^(2*x)*sinh(x)^11 + 18*(2431*cosh(x)^8 - 4004*cosh(x)^6 + 2002*cosh(x)^4 - 308*cosh(x)^2 + 7)*e^(2*x)*sinh(x)^10 + 4*(12155*cosh(x)^9 - 25740*cosh(x)^7 + 18018*cosh(x)^5 - 4620*cosh(x)^3 + 315*cosh(x))*e^(2*x)*sinh(x)^9 + 18*(2431*cosh(x)^10 - 6435*cosh(x)^8 + 6006*cosh(x)^6 - 2310*cosh(x)^4 + 315*cosh(x)^2 - 7)*e^(2*x)*sinh(x)^8 + 144*(221*cosh(x)^11 - 715*cosh(x)^9 + 858*cosh(x)^7 - 462*cosh(x)^5 + 105*cosh(x)^3 - 7*cosh(x))*e^(2*x)*sinh(x)^7 + 84*(221*cosh(x)^12 - 858*cosh(x)^10 + 1287*cosh(x)^8 - 924*cosh(x)^6 + 315*cosh(x)^4 - 42*cosh(x)^2 + 1)*e^(2*x)*sinh(x)^6 + 504*(17*cosh(x)^13 - 78*cosh(x)^11 + 143*cosh(x)^9 - 132*cosh(x)^7 + 63*cosh(x)^5 - 14*cosh(x)^3 + cosh(x))*e^(2*x)*sinh(x)^5 + 36*(85*cosh(x)^14 - 455*cosh(x)^12 + 1001*cosh(x)^10 - 1155*cosh(x)^8 + 735*cosh(x)^6 - 245*cosh(x)^4 + 35*cosh(x)^2 - 1)*e^(2*x)*sinh(x)^4 + 48*(17*cosh(x)^15 - 105*cosh(x)^13 + 273*cosh(x)^11 - 385*cosh(x)^9 + 315*cosh(x)^7 - 147*cosh(x)^5 + 35*cosh(x)^3 - 3*cosh(x))*e^(2*x)*sinh(x)^3 + 9*(17*cosh(x)^16 - 120*cosh(x)^14 + 364*cosh(x)^12 - 616*cosh(x)^10 + 630*cosh(x)^8 - 392*cosh(x)^6 + 140*cosh(x)^4 - 24*cosh(x)^2 + 1)*e^(2*x)*sinh(x)^2 + 18*(cosh(x)^17 - 8*cosh(x)^15 + 28*cosh(x)^13 - 56*cosh(x)^11 + 70*cosh(x)^9 - 56*cosh(x)^7 + 28*cosh(x)^5 - 8*cosh(x)^3 + cosh(x))*e^(2*x)*sinh(x) + (cosh(x)^18 - 9*cosh(x)^16 + 36*cosh(x)^14 - 84*cosh(x)^12 + 126*cosh(x)^10 - 126*cosh(x)^8 + 84*cosh(x)^6 - 36*cosh(x)^4 + 9*cosh(x)^2 - 1)*e^(2*x))","B",0
44,1,529,0,1.570633," ","integrate((a*csch(x)^4)^(3/2),x, algorithm=""fricas"")","-\frac{16 \, {\left(10 \, a \cosh\left(x\right)^{4} + 10 \, {\left(a e^{\left(4 \, x\right)} - 2 \, a e^{\left(2 \, x\right)} + a\right)} \sinh\left(x\right)^{4} + 40 \, {\left(a \cosh\left(x\right) e^{\left(4 \, x\right)} - 2 \, a \cosh\left(x\right) e^{\left(2 \, x\right)} + a \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 5 \, a \cosh\left(x\right)^{2} + 5 \, {\left(12 \, a \cosh\left(x\right)^{2} + {\left(12 \, a \cosh\left(x\right)^{2} - a\right)} e^{\left(4 \, x\right)} - 2 \, {\left(12 \, a \cosh\left(x\right)^{2} - a\right)} e^{\left(2 \, x\right)} - a\right)} \sinh\left(x\right)^{2} + {\left(10 \, a \cosh\left(x\right)^{4} - 5 \, a \cosh\left(x\right)^{2} + a\right)} e^{\left(4 \, x\right)} - 2 \, {\left(10 \, a \cosh\left(x\right)^{4} - 5 \, a \cosh\left(x\right)^{2} + a\right)} e^{\left(2 \, x\right)} + 10 \, {\left(4 \, a \cosh\left(x\right)^{3} - a \cosh\left(x\right) + {\left(4 \, a \cosh\left(x\right)^{3} - a \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(4 \, a \cosh\left(x\right)^{3} - a \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) + a\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} - 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} - 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)}}{15 \, {\left(10 \, \cosh\left(x\right) e^{\left(2 \, x\right)} \sinh\left(x\right)^{9} + e^{\left(2 \, x\right)} \sinh\left(x\right)^{10} + 5 \, {\left(9 \, \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{8} + 40 \, {\left(3 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{7} + 10 \, {\left(21 \, \cosh\left(x\right)^{4} - 14 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{6} + 4 \, {\left(63 \, \cosh\left(x\right)^{5} - 70 \, \cosh\left(x\right)^{3} + 15 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, \cosh\left(x\right)^{6} - 35 \, \cosh\left(x\right)^{4} + 15 \, \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, \cosh\left(x\right)^{7} - 7 \, \cosh\left(x\right)^{5} + 5 \, \cosh\left(x\right)^{3} - \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{3} + 5 \, {\left(9 \, \cosh\left(x\right)^{8} - 28 \, \cosh\left(x\right)^{6} + 30 \, \cosh\left(x\right)^{4} - 12 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 10 \, {\left(\cosh\left(x\right)^{9} - 4 \, \cosh\left(x\right)^{7} + 6 \, \cosh\left(x\right)^{5} - 4 \, \cosh\left(x\right)^{3} + \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} \sinh\left(x\right) + {\left(\cosh\left(x\right)^{10} - 5 \, \cosh\left(x\right)^{8} + 10 \, \cosh\left(x\right)^{6} - 10 \, \cosh\left(x\right)^{4} + 5 \, \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)}\right)}}"," ",0,"-16/15*(10*a*cosh(x)^4 + 10*(a*e^(4*x) - 2*a*e^(2*x) + a)*sinh(x)^4 + 40*(a*cosh(x)*e^(4*x) - 2*a*cosh(x)*e^(2*x) + a*cosh(x))*sinh(x)^3 - 5*a*cosh(x)^2 + 5*(12*a*cosh(x)^2 + (12*a*cosh(x)^2 - a)*e^(4*x) - 2*(12*a*cosh(x)^2 - a)*e^(2*x) - a)*sinh(x)^2 + (10*a*cosh(x)^4 - 5*a*cosh(x)^2 + a)*e^(4*x) - 2*(10*a*cosh(x)^4 - 5*a*cosh(x)^2 + a)*e^(2*x) + 10*(4*a*cosh(x)^3 - a*cosh(x) + (4*a*cosh(x)^3 - a*cosh(x))*e^(4*x) - 2*(4*a*cosh(x)^3 - a*cosh(x))*e^(2*x))*sinh(x) + a)*sqrt(a/(e^(8*x) - 4*e^(6*x) + 6*e^(4*x) - 4*e^(2*x) + 1))*e^(2*x)/(10*cosh(x)*e^(2*x)*sinh(x)^9 + e^(2*x)*sinh(x)^10 + 5*(9*cosh(x)^2 - 1)*e^(2*x)*sinh(x)^8 + 40*(3*cosh(x)^3 - cosh(x))*e^(2*x)*sinh(x)^7 + 10*(21*cosh(x)^4 - 14*cosh(x)^2 + 1)*e^(2*x)*sinh(x)^6 + 4*(63*cosh(x)^5 - 70*cosh(x)^3 + 15*cosh(x))*e^(2*x)*sinh(x)^5 + 10*(21*cosh(x)^6 - 35*cosh(x)^4 + 15*cosh(x)^2 - 1)*e^(2*x)*sinh(x)^4 + 40*(3*cosh(x)^7 - 7*cosh(x)^5 + 5*cosh(x)^3 - cosh(x))*e^(2*x)*sinh(x)^3 + 5*(9*cosh(x)^8 - 28*cosh(x)^6 + 30*cosh(x)^4 - 12*cosh(x)^2 + 1)*e^(2*x)*sinh(x)^2 + 10*(cosh(x)^9 - 4*cosh(x)^7 + 6*cosh(x)^5 - 4*cosh(x)^3 + cosh(x))*e^(2*x)*sinh(x) + (cosh(x)^10 - 5*cosh(x)^8 + 10*cosh(x)^6 - 10*cosh(x)^4 + 5*cosh(x)^2 - 1)*e^(2*x))","B",0
45,1,81,0,0.669024," ","integrate((a*csch(x)^4)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{\frac{a}{e^{\left(8 \, x\right)} - 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} - 4 \, e^{\left(2 \, x\right)} + 1}} {\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(2 \, x\right)}}{2 \, \cosh\left(x\right) e^{\left(2 \, x\right)} \sinh\left(x\right) + e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)}}"," ",0,"-2*sqrt(a/(e^(8*x) - 4*e^(6*x) + 6*e^(4*x) - 4*e^(2*x) + 1))*(e^(4*x) - 2*e^(2*x) + 1)*e^(2*x)/(2*cosh(x)*e^(2*x)*sinh(x) + e^(2*x)*sinh(x)^2 + (cosh(x)^2 - 1)*e^(2*x))","B",0
46,1,253,0,0.651060," ","integrate(1/(a*csch(x)^4)^(1/2),x, algorithm=""fricas"")","\frac{{\left({\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{4} + \cosh\left(x\right)^{4} + 4 \, {\left(\cosh\left(x\right) e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, x \cosh\left(x\right)^{2} + 2 \, {\left(3 \, \cosh\left(x\right)^{2} + {\left(3 \, \cosh\left(x\right)^{2} - 2 \, x\right)} e^{\left(4 \, x\right)} - 2 \, {\left(3 \, \cosh\left(x\right)^{2} - 2 \, x\right)} e^{\left(2 \, x\right)} - 2 \, x\right)} \sinh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{4} - 4 \, x \cosh\left(x\right)^{2} - 1\right)} e^{\left(4 \, x\right)} - 2 \, {\left(\cosh\left(x\right)^{4} - 4 \, x \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)} + 4 \, {\left(\cosh\left(x\right)^{3} - 2 \, x \cosh\left(x\right) + {\left(\cosh\left(x\right)^{3} - 2 \, x \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(\cosh\left(x\right)^{3} - 2 \, x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right) - 1\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} - 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} - 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)}}{8 \, {\left(a \cosh\left(x\right)^{2} e^{\left(2 \, x\right)} + 2 \, a \cosh\left(x\right) e^{\left(2 \, x\right)} \sinh\left(x\right) + a e^{\left(2 \, x\right)} \sinh\left(x\right)^{2}\right)}}"," ",0,"1/8*((e^(4*x) - 2*e^(2*x) + 1)*sinh(x)^4 + cosh(x)^4 + 4*(cosh(x)*e^(4*x) - 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^3 - 4*x*cosh(x)^2 + 2*(3*cosh(x)^2 + (3*cosh(x)^2 - 2*x)*e^(4*x) - 2*(3*cosh(x)^2 - 2*x)*e^(2*x) - 2*x)*sinh(x)^2 + (cosh(x)^4 - 4*x*cosh(x)^2 - 1)*e^(4*x) - 2*(cosh(x)^4 - 4*x*cosh(x)^2 - 1)*e^(2*x) + 4*(cosh(x)^3 - 2*x*cosh(x) + (cosh(x)^3 - 2*x*cosh(x))*e^(4*x) - 2*(cosh(x)^3 - 2*x*cosh(x))*e^(2*x))*sinh(x) - 1)*sqrt(a/(e^(8*x) - 4*e^(6*x) + 6*e^(4*x) - 4*e^(2*x) + 1))*e^(2*x)/(a*cosh(x)^2*e^(2*x) + 2*a*cosh(x)*e^(2*x)*sinh(x) + a*e^(2*x)*sinh(x)^2)","B",0
47,1,1141,0,0.811328," ","integrate(1/(a*csch(x)^4)^(3/2),x, algorithm=""fricas"")","\frac{{\left({\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{12} + \cosh\left(x\right)^{12} + 12 \, {\left(\cosh\left(x\right) e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{11} + 3 \, {\left(22 \, \cosh\left(x\right)^{2} + {\left(22 \, \cosh\left(x\right)^{2} - 3\right)} e^{\left(4 \, x\right)} - 2 \, {\left(22 \, \cosh\left(x\right)^{2} - 3\right)} e^{\left(2 \, x\right)} - 3\right)} \sinh\left(x\right)^{10} - 9 \, \cosh\left(x\right)^{10} + 10 \, {\left(22 \, \cosh\left(x\right)^{3} + {\left(22 \, \cosh\left(x\right)^{3} - 9 \, \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(22 \, \cosh\left(x\right)^{3} - 9 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} - 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{9} + 45 \, {\left(11 \, \cosh\left(x\right)^{4} - 9 \, \cosh\left(x\right)^{2} + {\left(11 \, \cosh\left(x\right)^{4} - 9 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(4 \, x\right)} - 2 \, {\left(11 \, \cosh\left(x\right)^{4} - 9 \, \cosh\left(x\right)^{2} + 1\right)} e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{8} + 45 \, \cosh\left(x\right)^{8} + 72 \, {\left(11 \, \cosh\left(x\right)^{5} - 15 \, \cosh\left(x\right)^{3} + {\left(11 \, \cosh\left(x\right)^{5} - 15 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(11 \, \cosh\left(x\right)^{5} - 15 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 120 \, x \cosh\left(x\right)^{6} + 6 \, {\left(154 \, \cosh\left(x\right)^{6} - 315 \, \cosh\left(x\right)^{4} + 210 \, \cosh\left(x\right)^{2} + {\left(154 \, \cosh\left(x\right)^{6} - 315 \, \cosh\left(x\right)^{4} + 210 \, \cosh\left(x\right)^{2} - 20 \, x\right)} e^{\left(4 \, x\right)} - 2 \, {\left(154 \, \cosh\left(x\right)^{6} - 315 \, \cosh\left(x\right)^{4} + 210 \, \cosh\left(x\right)^{2} - 20 \, x\right)} e^{\left(2 \, x\right)} - 20 \, x\right)} \sinh\left(x\right)^{6} + 36 \, {\left(22 \, \cosh\left(x\right)^{7} - 63 \, \cosh\left(x\right)^{5} + 70 \, \cosh\left(x\right)^{3} - 20 \, x \cosh\left(x\right) + {\left(22 \, \cosh\left(x\right)^{7} - 63 \, \cosh\left(x\right)^{5} + 70 \, \cosh\left(x\right)^{3} - 20 \, x \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(22 \, \cosh\left(x\right)^{7} - 63 \, \cosh\left(x\right)^{5} + 70 \, \cosh\left(x\right)^{3} - 20 \, x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{5} + 45 \, {\left(11 \, \cosh\left(x\right)^{8} - 42 \, \cosh\left(x\right)^{6} + 70 \, \cosh\left(x\right)^{4} - 40 \, x \cosh\left(x\right)^{2} + {\left(11 \, \cosh\left(x\right)^{8} - 42 \, \cosh\left(x\right)^{6} + 70 \, \cosh\left(x\right)^{4} - 40 \, x \cosh\left(x\right)^{2} - 1\right)} e^{\left(4 \, x\right)} - 2 \, {\left(11 \, \cosh\left(x\right)^{8} - 42 \, \cosh\left(x\right)^{6} + 70 \, \cosh\left(x\right)^{4} - 40 \, x \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)} - 1\right)} \sinh\left(x\right)^{4} - 45 \, \cosh\left(x\right)^{4} + 20 \, {\left(11 \, \cosh\left(x\right)^{9} - 54 \, \cosh\left(x\right)^{7} + 126 \, \cosh\left(x\right)^{5} - 120 \, x \cosh\left(x\right)^{3} + {\left(11 \, \cosh\left(x\right)^{9} - 54 \, \cosh\left(x\right)^{7} + 126 \, \cosh\left(x\right)^{5} - 120 \, x \cosh\left(x\right)^{3} - 9 \, \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(11 \, \cosh\left(x\right)^{9} - 54 \, \cosh\left(x\right)^{7} + 126 \, \cosh\left(x\right)^{5} - 120 \, x \cosh\left(x\right)^{3} - 9 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} - 9 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(22 \, \cosh\left(x\right)^{10} - 135 \, \cosh\left(x\right)^{8} + 420 \, \cosh\left(x\right)^{6} - 600 \, x \cosh\left(x\right)^{4} - 90 \, \cosh\left(x\right)^{2} + {\left(22 \, \cosh\left(x\right)^{10} - 135 \, \cosh\left(x\right)^{8} + 420 \, \cosh\left(x\right)^{6} - 600 \, x \cosh\left(x\right)^{4} - 90 \, \cosh\left(x\right)^{2} + 3\right)} e^{\left(4 \, x\right)} - 2 \, {\left(22 \, \cosh\left(x\right)^{10} - 135 \, \cosh\left(x\right)^{8} + 420 \, \cosh\left(x\right)^{6} - 600 \, x \cosh\left(x\right)^{4} - 90 \, \cosh\left(x\right)^{2} + 3\right)} e^{\left(2 \, x\right)} + 3\right)} \sinh\left(x\right)^{2} + 9 \, \cosh\left(x\right)^{2} + {\left(\cosh\left(x\right)^{12} - 9 \, \cosh\left(x\right)^{10} + 45 \, \cosh\left(x\right)^{8} - 120 \, x \cosh\left(x\right)^{6} - 45 \, \cosh\left(x\right)^{4} + 9 \, \cosh\left(x\right)^{2} - 1\right)} e^{\left(4 \, x\right)} - 2 \, {\left(\cosh\left(x\right)^{12} - 9 \, \cosh\left(x\right)^{10} + 45 \, \cosh\left(x\right)^{8} - 120 \, x \cosh\left(x\right)^{6} - 45 \, \cosh\left(x\right)^{4} + 9 \, \cosh\left(x\right)^{2} - 1\right)} e^{\left(2 \, x\right)} + 6 \, {\left(2 \, \cosh\left(x\right)^{11} - 15 \, \cosh\left(x\right)^{9} + 60 \, \cosh\left(x\right)^{7} - 120 \, x \cosh\left(x\right)^{5} - 30 \, \cosh\left(x\right)^{3} + {\left(2 \, \cosh\left(x\right)^{11} - 15 \, \cosh\left(x\right)^{9} + 60 \, \cosh\left(x\right)^{7} - 120 \, x \cosh\left(x\right)^{5} - 30 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(2 \, \cosh\left(x\right)^{11} - 15 \, \cosh\left(x\right)^{9} + 60 \, \cosh\left(x\right)^{7} - 120 \, x \cosh\left(x\right)^{5} - 30 \, \cosh\left(x\right)^{3} + 3 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + 3 \, \cosh\left(x\right)\right)} \sinh\left(x\right) - 1\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} - 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} - 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)}}{384 \, {\left(a^{2} \cosh\left(x\right)^{6} e^{\left(2 \, x\right)} + 6 \, a^{2} \cosh\left(x\right)^{5} e^{\left(2 \, x\right)} \sinh\left(x\right) + 15 \, a^{2} \cosh\left(x\right)^{4} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 20 \, a^{2} \cosh\left(x\right)^{3} e^{\left(2 \, x\right)} \sinh\left(x\right)^{3} + 15 \, a^{2} \cosh\left(x\right)^{2} e^{\left(2 \, x\right)} \sinh\left(x\right)^{4} + 6 \, a^{2} \cosh\left(x\right) e^{\left(2 \, x\right)} \sinh\left(x\right)^{5} + a^{2} e^{\left(2 \, x\right)} \sinh\left(x\right)^{6}\right)}}"," ",0,"1/384*((e^(4*x) - 2*e^(2*x) + 1)*sinh(x)^12 + cosh(x)^12 + 12*(cosh(x)*e^(4*x) - 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^11 + 3*(22*cosh(x)^2 + (22*cosh(x)^2 - 3)*e^(4*x) - 2*(22*cosh(x)^2 - 3)*e^(2*x) - 3)*sinh(x)^10 - 9*cosh(x)^10 + 10*(22*cosh(x)^3 + (22*cosh(x)^3 - 9*cosh(x))*e^(4*x) - 2*(22*cosh(x)^3 - 9*cosh(x))*e^(2*x) - 9*cosh(x))*sinh(x)^9 + 45*(11*cosh(x)^4 - 9*cosh(x)^2 + (11*cosh(x)^4 - 9*cosh(x)^2 + 1)*e^(4*x) - 2*(11*cosh(x)^4 - 9*cosh(x)^2 + 1)*e^(2*x) + 1)*sinh(x)^8 + 45*cosh(x)^8 + 72*(11*cosh(x)^5 - 15*cosh(x)^3 + (11*cosh(x)^5 - 15*cosh(x)^3 + 5*cosh(x))*e^(4*x) - 2*(11*cosh(x)^5 - 15*cosh(x)^3 + 5*cosh(x))*e^(2*x) + 5*cosh(x))*sinh(x)^7 - 120*x*cosh(x)^6 + 6*(154*cosh(x)^6 - 315*cosh(x)^4 + 210*cosh(x)^2 + (154*cosh(x)^6 - 315*cosh(x)^4 + 210*cosh(x)^2 - 20*x)*e^(4*x) - 2*(154*cosh(x)^6 - 315*cosh(x)^4 + 210*cosh(x)^2 - 20*x)*e^(2*x) - 20*x)*sinh(x)^6 + 36*(22*cosh(x)^7 - 63*cosh(x)^5 + 70*cosh(x)^3 - 20*x*cosh(x) + (22*cosh(x)^7 - 63*cosh(x)^5 + 70*cosh(x)^3 - 20*x*cosh(x))*e^(4*x) - 2*(22*cosh(x)^7 - 63*cosh(x)^5 + 70*cosh(x)^3 - 20*x*cosh(x))*e^(2*x))*sinh(x)^5 + 45*(11*cosh(x)^8 - 42*cosh(x)^6 + 70*cosh(x)^4 - 40*x*cosh(x)^2 + (11*cosh(x)^8 - 42*cosh(x)^6 + 70*cosh(x)^4 - 40*x*cosh(x)^2 - 1)*e^(4*x) - 2*(11*cosh(x)^8 - 42*cosh(x)^6 + 70*cosh(x)^4 - 40*x*cosh(x)^2 - 1)*e^(2*x) - 1)*sinh(x)^4 - 45*cosh(x)^4 + 20*(11*cosh(x)^9 - 54*cosh(x)^7 + 126*cosh(x)^5 - 120*x*cosh(x)^3 + (11*cosh(x)^9 - 54*cosh(x)^7 + 126*cosh(x)^5 - 120*x*cosh(x)^3 - 9*cosh(x))*e^(4*x) - 2*(11*cosh(x)^9 - 54*cosh(x)^7 + 126*cosh(x)^5 - 120*x*cosh(x)^3 - 9*cosh(x))*e^(2*x) - 9*cosh(x))*sinh(x)^3 + 3*(22*cosh(x)^10 - 135*cosh(x)^8 + 420*cosh(x)^6 - 600*x*cosh(x)^4 - 90*cosh(x)^2 + (22*cosh(x)^10 - 135*cosh(x)^8 + 420*cosh(x)^6 - 600*x*cosh(x)^4 - 90*cosh(x)^2 + 3)*e^(4*x) - 2*(22*cosh(x)^10 - 135*cosh(x)^8 + 420*cosh(x)^6 - 600*x*cosh(x)^4 - 90*cosh(x)^2 + 3)*e^(2*x) + 3)*sinh(x)^2 + 9*cosh(x)^2 + (cosh(x)^12 - 9*cosh(x)^10 + 45*cosh(x)^8 - 120*x*cosh(x)^6 - 45*cosh(x)^4 + 9*cosh(x)^2 - 1)*e^(4*x) - 2*(cosh(x)^12 - 9*cosh(x)^10 + 45*cosh(x)^8 - 120*x*cosh(x)^6 - 45*cosh(x)^4 + 9*cosh(x)^2 - 1)*e^(2*x) + 6*(2*cosh(x)^11 - 15*cosh(x)^9 + 60*cosh(x)^7 - 120*x*cosh(x)^5 - 30*cosh(x)^3 + (2*cosh(x)^11 - 15*cosh(x)^9 + 60*cosh(x)^7 - 120*x*cosh(x)^5 - 30*cosh(x)^3 + 3*cosh(x))*e^(4*x) - 2*(2*cosh(x)^11 - 15*cosh(x)^9 + 60*cosh(x)^7 - 120*x*cosh(x)^5 - 30*cosh(x)^3 + 3*cosh(x))*e^(2*x) + 3*cosh(x))*sinh(x) - 1)*sqrt(a/(e^(8*x) - 4*e^(6*x) + 6*e^(4*x) - 4*e^(2*x) + 1))*e^(2*x)/(a^2*cosh(x)^6*e^(2*x) + 6*a^2*cosh(x)^5*e^(2*x)*sinh(x) + 15*a^2*cosh(x)^4*e^(2*x)*sinh(x)^2 + 20*a^2*cosh(x)^3*e^(2*x)*sinh(x)^3 + 15*a^2*cosh(x)^2*e^(2*x)*sinh(x)^4 + 6*a^2*cosh(x)*e^(2*x)*sinh(x)^5 + a^2*e^(2*x)*sinh(x)^6)","B",0
48,1,2600,0,0.742275," ","integrate(1/(a*csch(x)^4)^(5/2),x, algorithm=""fricas"")","\frac{{\left(2 \, {\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1\right)} \sinh\left(x\right)^{20} + 2 \, \cosh\left(x\right)^{20} + 40 \, {\left(\cosh\left(x\right) e^{\left(4 \, x\right)} - 2 \, \cosh\left(x\right) e^{\left(2 \, x\right)} + \cosh\left(x\right)\right)} \sinh\left(x\right)^{19} + 5 \, {\left(76 \, \cosh\left(x\right)^{2} + {\left(76 \, \cosh\left(x\right)^{2} - 5\right)} e^{\left(4 \, x\right)} - 2 \, {\left(76 \, \cosh\left(x\right)^{2} - 5\right)} e^{\left(2 \, x\right)} - 5\right)} \sinh\left(x\right)^{18} - 25 \, \cosh\left(x\right)^{18} + 30 \, {\left(76 \, \cosh\left(x\right)^{3} + {\left(76 \, \cosh\left(x\right)^{3} - 15 \, \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(76 \, \cosh\left(x\right)^{3} - 15 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} - 15 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{17} + 15 \, {\left(646 \, \cosh\left(x\right)^{4} - 255 \, \cosh\left(x\right)^{2} + {\left(646 \, \cosh\left(x\right)^{4} - 255 \, \cosh\left(x\right)^{2} + 10\right)} e^{\left(4 \, x\right)} - 2 \, {\left(646 \, \cosh\left(x\right)^{4} - 255 \, \cosh\left(x\right)^{2} + 10\right)} e^{\left(2 \, x\right)} + 10\right)} \sinh\left(x\right)^{16} + 150 \, \cosh\left(x\right)^{16} + 48 \, {\left(646 \, \cosh\left(x\right)^{5} - 425 \, \cosh\left(x\right)^{3} + {\left(646 \, \cosh\left(x\right)^{5} - 425 \, \cosh\left(x\right)^{3} + 50 \, \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(646 \, \cosh\left(x\right)^{5} - 425 \, \cosh\left(x\right)^{3} + 50 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + 50 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{15} + 60 \, {\left(1292 \, \cosh\left(x\right)^{6} - 1275 \, \cosh\left(x\right)^{4} + 300 \, \cosh\left(x\right)^{2} + {\left(1292 \, \cosh\left(x\right)^{6} - 1275 \, \cosh\left(x\right)^{4} + 300 \, \cosh\left(x\right)^{2} - 10\right)} e^{\left(4 \, x\right)} - 2 \, {\left(1292 \, \cosh\left(x\right)^{6} - 1275 \, \cosh\left(x\right)^{4} + 300 \, \cosh\left(x\right)^{2} - 10\right)} e^{\left(2 \, x\right)} - 10\right)} \sinh\left(x\right)^{14} - 600 \, \cosh\left(x\right)^{14} + 120 \, {\left(1292 \, \cosh\left(x\right)^{7} - 1785 \, \cosh\left(x\right)^{5} + 700 \, \cosh\left(x\right)^{3} + {\left(1292 \, \cosh\left(x\right)^{7} - 1785 \, \cosh\left(x\right)^{5} + 700 \, \cosh\left(x\right)^{3} - 70 \, \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(1292 \, \cosh\left(x\right)^{7} - 1785 \, \cosh\left(x\right)^{5} + 700 \, \cosh\left(x\right)^{3} - 70 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} - 70 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{13} + 60 \, {\left(4199 \, \cosh\left(x\right)^{8} - 7735 \, \cosh\left(x\right)^{6} + 4550 \, \cosh\left(x\right)^{4} - 910 \, \cosh\left(x\right)^{2} + {\left(4199 \, \cosh\left(x\right)^{8} - 7735 \, \cosh\left(x\right)^{6} + 4550 \, \cosh\left(x\right)^{4} - 910 \, \cosh\left(x\right)^{2} + 35\right)} e^{\left(4 \, x\right)} - 2 \, {\left(4199 \, \cosh\left(x\right)^{8} - 7735 \, \cosh\left(x\right)^{6} + 4550 \, \cosh\left(x\right)^{4} - 910 \, \cosh\left(x\right)^{2} + 35\right)} e^{\left(2 \, x\right)} + 35\right)} \sinh\left(x\right)^{12} + 2100 \, \cosh\left(x\right)^{12} + 80 \, {\left(4199 \, \cosh\left(x\right)^{9} - 9945 \, \cosh\left(x\right)^{7} + 8190 \, \cosh\left(x\right)^{5} - 2730 \, \cosh\left(x\right)^{3} + {\left(4199 \, \cosh\left(x\right)^{9} - 9945 \, \cosh\left(x\right)^{7} + 8190 \, \cosh\left(x\right)^{5} - 2730 \, \cosh\left(x\right)^{3} + 315 \, \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(4199 \, \cosh\left(x\right)^{9} - 9945 \, \cosh\left(x\right)^{7} + 8190 \, \cosh\left(x\right)^{5} - 2730 \, \cosh\left(x\right)^{3} + 315 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + 315 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{11} - 5040 \, x \cosh\left(x\right)^{10} + 2 \, {\left(184756 \, \cosh\left(x\right)^{10} - 546975 \, \cosh\left(x\right)^{8} + 600600 \, \cosh\left(x\right)^{6} - 300300 \, \cosh\left(x\right)^{4} + 69300 \, \cosh\left(x\right)^{2} + {\left(184756 \, \cosh\left(x\right)^{10} - 546975 \, \cosh\left(x\right)^{8} + 600600 \, \cosh\left(x\right)^{6} - 300300 \, \cosh\left(x\right)^{4} + 69300 \, \cosh\left(x\right)^{2} - 2520 \, x\right)} e^{\left(4 \, x\right)} - 2 \, {\left(184756 \, \cosh\left(x\right)^{10} - 546975 \, \cosh\left(x\right)^{8} + 600600 \, \cosh\left(x\right)^{6} - 300300 \, \cosh\left(x\right)^{4} + 69300 \, \cosh\left(x\right)^{2} - 2520 \, x\right)} e^{\left(2 \, x\right)} - 2520 \, x\right)} \sinh\left(x\right)^{10} + 20 \, {\left(16796 \, \cosh\left(x\right)^{11} - 60775 \, \cosh\left(x\right)^{9} + 85800 \, \cosh\left(x\right)^{7} - 60060 \, \cosh\left(x\right)^{5} + 23100 \, \cosh\left(x\right)^{3} - 2520 \, x \cosh\left(x\right) + {\left(16796 \, \cosh\left(x\right)^{11} - 60775 \, \cosh\left(x\right)^{9} + 85800 \, \cosh\left(x\right)^{7} - 60060 \, \cosh\left(x\right)^{5} + 23100 \, \cosh\left(x\right)^{3} - 2520 \, x \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(16796 \, \cosh\left(x\right)^{11} - 60775 \, \cosh\left(x\right)^{9} + 85800 \, \cosh\left(x\right)^{7} - 60060 \, \cosh\left(x\right)^{5} + 23100 \, \cosh\left(x\right)^{3} - 2520 \, x \cosh\left(x\right)\right)} e^{\left(2 \, x\right)}\right)} \sinh\left(x\right)^{9} + 30 \, {\left(8398 \, \cosh\left(x\right)^{12} - 36465 \, \cosh\left(x\right)^{10} + 64350 \, \cosh\left(x\right)^{8} - 60060 \, \cosh\left(x\right)^{6} + 34650 \, \cosh\left(x\right)^{4} - 7560 \, x \cosh\left(x\right)^{2} + {\left(8398 \, \cosh\left(x\right)^{12} - 36465 \, \cosh\left(x\right)^{10} + 64350 \, \cosh\left(x\right)^{8} - 60060 \, \cosh\left(x\right)^{6} + 34650 \, \cosh\left(x\right)^{4} - 7560 \, x \cosh\left(x\right)^{2} - 70\right)} e^{\left(4 \, x\right)} - 2 \, {\left(8398 \, \cosh\left(x\right)^{12} - 36465 \, \cosh\left(x\right)^{10} + 64350 \, \cosh\left(x\right)^{8} - 60060 \, \cosh\left(x\right)^{6} + 34650 \, \cosh\left(x\right)^{4} - 7560 \, x \cosh\left(x\right)^{2} - 70\right)} e^{\left(2 \, x\right)} - 70\right)} \sinh\left(x\right)^{8} - 2100 \, \cosh\left(x\right)^{8} + 240 \, {\left(646 \, \cosh\left(x\right)^{13} - 3315 \, \cosh\left(x\right)^{11} + 7150 \, \cosh\left(x\right)^{9} - 8580 \, \cosh\left(x\right)^{7} + 6930 \, \cosh\left(x\right)^{5} - 2520 \, x \cosh\left(x\right)^{3} + {\left(646 \, \cosh\left(x\right)^{13} - 3315 \, \cosh\left(x\right)^{11} + 7150 \, \cosh\left(x\right)^{9} - 8580 \, \cosh\left(x\right)^{7} + 6930 \, \cosh\left(x\right)^{5} - 2520 \, x \cosh\left(x\right)^{3} - 70 \, \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(646 \, \cosh\left(x\right)^{13} - 3315 \, \cosh\left(x\right)^{11} + 7150 \, \cosh\left(x\right)^{9} - 8580 \, \cosh\left(x\right)^{7} + 6930 \, \cosh\left(x\right)^{5} - 2520 \, x \cosh\left(x\right)^{3} - 70 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} - 70 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 60 \, {\left(1292 \, \cosh\left(x\right)^{14} - 7735 \, \cosh\left(x\right)^{12} + 20020 \, \cosh\left(x\right)^{10} - 30030 \, \cosh\left(x\right)^{8} + 32340 \, \cosh\left(x\right)^{6} - 17640 \, x \cosh\left(x\right)^{4} - 980 \, \cosh\left(x\right)^{2} + {\left(1292 \, \cosh\left(x\right)^{14} - 7735 \, \cosh\left(x\right)^{12} + 20020 \, \cosh\left(x\right)^{10} - 30030 \, \cosh\left(x\right)^{8} + 32340 \, \cosh\left(x\right)^{6} - 17640 \, x \cosh\left(x\right)^{4} - 980 \, \cosh\left(x\right)^{2} + 10\right)} e^{\left(4 \, x\right)} - 2 \, {\left(1292 \, \cosh\left(x\right)^{14} - 7735 \, \cosh\left(x\right)^{12} + 20020 \, \cosh\left(x\right)^{10} - 30030 \, \cosh\left(x\right)^{8} + 32340 \, \cosh\left(x\right)^{6} - 17640 \, x \cosh\left(x\right)^{4} - 980 \, \cosh\left(x\right)^{2} + 10\right)} e^{\left(2 \, x\right)} + 10\right)} \sinh\left(x\right)^{6} + 600 \, \cosh\left(x\right)^{6} + 24 \, {\left(1292 \, \cosh\left(x\right)^{15} - 8925 \, \cosh\left(x\right)^{13} + 27300 \, \cosh\left(x\right)^{11} - 50050 \, \cosh\left(x\right)^{9} + 69300 \, \cosh\left(x\right)^{7} - 52920 \, x \cosh\left(x\right)^{5} - 4900 \, \cosh\left(x\right)^{3} + {\left(1292 \, \cosh\left(x\right)^{15} - 8925 \, \cosh\left(x\right)^{13} + 27300 \, \cosh\left(x\right)^{11} - 50050 \, \cosh\left(x\right)^{9} + 69300 \, \cosh\left(x\right)^{7} - 52920 \, x \cosh\left(x\right)^{5} - 4900 \, \cosh\left(x\right)^{3} + 150 \, \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(1292 \, \cosh\left(x\right)^{15} - 8925 \, \cosh\left(x\right)^{13} + 27300 \, \cosh\left(x\right)^{11} - 50050 \, \cosh\left(x\right)^{9} + 69300 \, \cosh\left(x\right)^{7} - 52920 \, x \cosh\left(x\right)^{5} - 4900 \, \cosh\left(x\right)^{3} + 150 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + 150 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 30 \, {\left(323 \, \cosh\left(x\right)^{16} - 2550 \, \cosh\left(x\right)^{14} + 9100 \, \cosh\left(x\right)^{12} - 20020 \, \cosh\left(x\right)^{10} + 34650 \, \cosh\left(x\right)^{8} - 35280 \, x \cosh\left(x\right)^{6} - 4900 \, \cosh\left(x\right)^{4} + 300 \, \cosh\left(x\right)^{2} + {\left(323 \, \cosh\left(x\right)^{16} - 2550 \, \cosh\left(x\right)^{14} + 9100 \, \cosh\left(x\right)^{12} - 20020 \, \cosh\left(x\right)^{10} + 34650 \, \cosh\left(x\right)^{8} - 35280 \, x \cosh\left(x\right)^{6} - 4900 \, \cosh\left(x\right)^{4} + 300 \, \cosh\left(x\right)^{2} - 5\right)} e^{\left(4 \, x\right)} - 2 \, {\left(323 \, \cosh\left(x\right)^{16} - 2550 \, \cosh\left(x\right)^{14} + 9100 \, \cosh\left(x\right)^{12} - 20020 \, \cosh\left(x\right)^{10} + 34650 \, \cosh\left(x\right)^{8} - 35280 \, x \cosh\left(x\right)^{6} - 4900 \, \cosh\left(x\right)^{4} + 300 \, \cosh\left(x\right)^{2} - 5\right)} e^{\left(2 \, x\right)} - 5\right)} \sinh\left(x\right)^{4} - 150 \, \cosh\left(x\right)^{4} + 120 \, {\left(19 \, \cosh\left(x\right)^{17} - 170 \, \cosh\left(x\right)^{15} + 700 \, \cosh\left(x\right)^{13} - 1820 \, \cosh\left(x\right)^{11} + 3850 \, \cosh\left(x\right)^{9} - 5040 \, x \cosh\left(x\right)^{7} - 980 \, \cosh\left(x\right)^{5} + 100 \, \cosh\left(x\right)^{3} + {\left(19 \, \cosh\left(x\right)^{17} - 170 \, \cosh\left(x\right)^{15} + 700 \, \cosh\left(x\right)^{13} - 1820 \, \cosh\left(x\right)^{11} + 3850 \, \cosh\left(x\right)^{9} - 5040 \, x \cosh\left(x\right)^{7} - 980 \, \cosh\left(x\right)^{5} + 100 \, \cosh\left(x\right)^{3} - 5 \, \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(19 \, \cosh\left(x\right)^{17} - 170 \, \cosh\left(x\right)^{15} + 700 \, \cosh\left(x\right)^{13} - 1820 \, \cosh\left(x\right)^{11} + 3850 \, \cosh\left(x\right)^{9} - 5040 \, x \cosh\left(x\right)^{7} - 980 \, \cosh\left(x\right)^{5} + 100 \, \cosh\left(x\right)^{3} - 5 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} - 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(76 \, \cosh\left(x\right)^{18} - 765 \, \cosh\left(x\right)^{16} + 3600 \, \cosh\left(x\right)^{14} - 10920 \, \cosh\left(x\right)^{12} + 27720 \, \cosh\left(x\right)^{10} - 45360 \, x \cosh\left(x\right)^{8} - 11760 \, \cosh\left(x\right)^{6} + 1800 \, \cosh\left(x\right)^{4} - 180 \, \cosh\left(x\right)^{2} + {\left(76 \, \cosh\left(x\right)^{18} - 765 \, \cosh\left(x\right)^{16} + 3600 \, \cosh\left(x\right)^{14} - 10920 \, \cosh\left(x\right)^{12} + 27720 \, \cosh\left(x\right)^{10} - 45360 \, x \cosh\left(x\right)^{8} - 11760 \, \cosh\left(x\right)^{6} + 1800 \, \cosh\left(x\right)^{4} - 180 \, \cosh\left(x\right)^{2} + 5\right)} e^{\left(4 \, x\right)} - 2 \, {\left(76 \, \cosh\left(x\right)^{18} - 765 \, \cosh\left(x\right)^{16} + 3600 \, \cosh\left(x\right)^{14} - 10920 \, \cosh\left(x\right)^{12} + 27720 \, \cosh\left(x\right)^{10} - 45360 \, x \cosh\left(x\right)^{8} - 11760 \, \cosh\left(x\right)^{6} + 1800 \, \cosh\left(x\right)^{4} - 180 \, \cosh\left(x\right)^{2} + 5\right)} e^{\left(2 \, x\right)} + 5\right)} \sinh\left(x\right)^{2} + 25 \, \cosh\left(x\right)^{2} + {\left(2 \, \cosh\left(x\right)^{20} - 25 \, \cosh\left(x\right)^{18} + 150 \, \cosh\left(x\right)^{16} - 600 \, \cosh\left(x\right)^{14} + 2100 \, \cosh\left(x\right)^{12} - 5040 \, x \cosh\left(x\right)^{10} - 2100 \, \cosh\left(x\right)^{8} + 600 \, \cosh\left(x\right)^{6} - 150 \, \cosh\left(x\right)^{4} + 25 \, \cosh\left(x\right)^{2} - 2\right)} e^{\left(4 \, x\right)} - 2 \, {\left(2 \, \cosh\left(x\right)^{20} - 25 \, \cosh\left(x\right)^{18} + 150 \, \cosh\left(x\right)^{16} - 600 \, \cosh\left(x\right)^{14} + 2100 \, \cosh\left(x\right)^{12} - 5040 \, x \cosh\left(x\right)^{10} - 2100 \, \cosh\left(x\right)^{8} + 600 \, \cosh\left(x\right)^{6} - 150 \, \cosh\left(x\right)^{4} + 25 \, \cosh\left(x\right)^{2} - 2\right)} e^{\left(2 \, x\right)} + 10 \, {\left(4 \, \cosh\left(x\right)^{19} - 45 \, \cosh\left(x\right)^{17} + 240 \, \cosh\left(x\right)^{15} - 840 \, \cosh\left(x\right)^{13} + 2520 \, \cosh\left(x\right)^{11} - 5040 \, x \cosh\left(x\right)^{9} - 1680 \, \cosh\left(x\right)^{7} + 360 \, \cosh\left(x\right)^{5} - 60 \, \cosh\left(x\right)^{3} + {\left(4 \, \cosh\left(x\right)^{19} - 45 \, \cosh\left(x\right)^{17} + 240 \, \cosh\left(x\right)^{15} - 840 \, \cosh\left(x\right)^{13} + 2520 \, \cosh\left(x\right)^{11} - 5040 \, x \cosh\left(x\right)^{9} - 1680 \, \cosh\left(x\right)^{7} + 360 \, \cosh\left(x\right)^{5} - 60 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} e^{\left(4 \, x\right)} - 2 \, {\left(4 \, \cosh\left(x\right)^{19} - 45 \, \cosh\left(x\right)^{17} + 240 \, \cosh\left(x\right)^{15} - 840 \, \cosh\left(x\right)^{13} + 2520 \, \cosh\left(x\right)^{11} - 5040 \, x \cosh\left(x\right)^{9} - 1680 \, \cosh\left(x\right)^{7} + 360 \, \cosh\left(x\right)^{5} - 60 \, \cosh\left(x\right)^{3} + 5 \, \cosh\left(x\right)\right)} e^{\left(2 \, x\right)} + 5 \, \cosh\left(x\right)\right)} \sinh\left(x\right) - 2\right)} \sqrt{\frac{a}{e^{\left(8 \, x\right)} - 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} - 4 \, e^{\left(2 \, x\right)} + 1}} e^{\left(2 \, x\right)}}{20480 \, {\left(a^{3} \cosh\left(x\right)^{10} e^{\left(2 \, x\right)} + 10 \, a^{3} \cosh\left(x\right)^{9} e^{\left(2 \, x\right)} \sinh\left(x\right) + 45 \, a^{3} \cosh\left(x\right)^{8} e^{\left(2 \, x\right)} \sinh\left(x\right)^{2} + 120 \, a^{3} \cosh\left(x\right)^{7} e^{\left(2 \, x\right)} \sinh\left(x\right)^{3} + 210 \, a^{3} \cosh\left(x\right)^{6} e^{\left(2 \, x\right)} \sinh\left(x\right)^{4} + 252 \, a^{3} \cosh\left(x\right)^{5} e^{\left(2 \, x\right)} \sinh\left(x\right)^{5} + 210 \, a^{3} \cosh\left(x\right)^{4} e^{\left(2 \, x\right)} \sinh\left(x\right)^{6} + 120 \, a^{3} \cosh\left(x\right)^{3} e^{\left(2 \, x\right)} \sinh\left(x\right)^{7} + 45 \, a^{3} \cosh\left(x\right)^{2} e^{\left(2 \, x\right)} \sinh\left(x\right)^{8} + 10 \, a^{3} \cosh\left(x\right) e^{\left(2 \, x\right)} \sinh\left(x\right)^{9} + a^{3} e^{\left(2 \, x\right)} \sinh\left(x\right)^{10}\right)}}"," ",0,"1/20480*(2*(e^(4*x) - 2*e^(2*x) + 1)*sinh(x)^20 + 2*cosh(x)^20 + 40*(cosh(x)*e^(4*x) - 2*cosh(x)*e^(2*x) + cosh(x))*sinh(x)^19 + 5*(76*cosh(x)^2 + (76*cosh(x)^2 - 5)*e^(4*x) - 2*(76*cosh(x)^2 - 5)*e^(2*x) - 5)*sinh(x)^18 - 25*cosh(x)^18 + 30*(76*cosh(x)^3 + (76*cosh(x)^3 - 15*cosh(x))*e^(4*x) - 2*(76*cosh(x)^3 - 15*cosh(x))*e^(2*x) - 15*cosh(x))*sinh(x)^17 + 15*(646*cosh(x)^4 - 255*cosh(x)^2 + (646*cosh(x)^4 - 255*cosh(x)^2 + 10)*e^(4*x) - 2*(646*cosh(x)^4 - 255*cosh(x)^2 + 10)*e^(2*x) + 10)*sinh(x)^16 + 150*cosh(x)^16 + 48*(646*cosh(x)^5 - 425*cosh(x)^3 + (646*cosh(x)^5 - 425*cosh(x)^3 + 50*cosh(x))*e^(4*x) - 2*(646*cosh(x)^5 - 425*cosh(x)^3 + 50*cosh(x))*e^(2*x) + 50*cosh(x))*sinh(x)^15 + 60*(1292*cosh(x)^6 - 1275*cosh(x)^4 + 300*cosh(x)^2 + (1292*cosh(x)^6 - 1275*cosh(x)^4 + 300*cosh(x)^2 - 10)*e^(4*x) - 2*(1292*cosh(x)^6 - 1275*cosh(x)^4 + 300*cosh(x)^2 - 10)*e^(2*x) - 10)*sinh(x)^14 - 600*cosh(x)^14 + 120*(1292*cosh(x)^7 - 1785*cosh(x)^5 + 700*cosh(x)^3 + (1292*cosh(x)^7 - 1785*cosh(x)^5 + 700*cosh(x)^3 - 70*cosh(x))*e^(4*x) - 2*(1292*cosh(x)^7 - 1785*cosh(x)^5 + 700*cosh(x)^3 - 70*cosh(x))*e^(2*x) - 70*cosh(x))*sinh(x)^13 + 60*(4199*cosh(x)^8 - 7735*cosh(x)^6 + 4550*cosh(x)^4 - 910*cosh(x)^2 + (4199*cosh(x)^8 - 7735*cosh(x)^6 + 4550*cosh(x)^4 - 910*cosh(x)^2 + 35)*e^(4*x) - 2*(4199*cosh(x)^8 - 7735*cosh(x)^6 + 4550*cosh(x)^4 - 910*cosh(x)^2 + 35)*e^(2*x) + 35)*sinh(x)^12 + 2100*cosh(x)^12 + 80*(4199*cosh(x)^9 - 9945*cosh(x)^7 + 8190*cosh(x)^5 - 2730*cosh(x)^3 + (4199*cosh(x)^9 - 9945*cosh(x)^7 + 8190*cosh(x)^5 - 2730*cosh(x)^3 + 315*cosh(x))*e^(4*x) - 2*(4199*cosh(x)^9 - 9945*cosh(x)^7 + 8190*cosh(x)^5 - 2730*cosh(x)^3 + 315*cosh(x))*e^(2*x) + 315*cosh(x))*sinh(x)^11 - 5040*x*cosh(x)^10 + 2*(184756*cosh(x)^10 - 546975*cosh(x)^8 + 600600*cosh(x)^6 - 300300*cosh(x)^4 + 69300*cosh(x)^2 + (184756*cosh(x)^10 - 546975*cosh(x)^8 + 600600*cosh(x)^6 - 300300*cosh(x)^4 + 69300*cosh(x)^2 - 2520*x)*e^(4*x) - 2*(184756*cosh(x)^10 - 546975*cosh(x)^8 + 600600*cosh(x)^6 - 300300*cosh(x)^4 + 69300*cosh(x)^2 - 2520*x)*e^(2*x) - 2520*x)*sinh(x)^10 + 20*(16796*cosh(x)^11 - 60775*cosh(x)^9 + 85800*cosh(x)^7 - 60060*cosh(x)^5 + 23100*cosh(x)^3 - 2520*x*cosh(x) + (16796*cosh(x)^11 - 60775*cosh(x)^9 + 85800*cosh(x)^7 - 60060*cosh(x)^5 + 23100*cosh(x)^3 - 2520*x*cosh(x))*e^(4*x) - 2*(16796*cosh(x)^11 - 60775*cosh(x)^9 + 85800*cosh(x)^7 - 60060*cosh(x)^5 + 23100*cosh(x)^3 - 2520*x*cosh(x))*e^(2*x))*sinh(x)^9 + 30*(8398*cosh(x)^12 - 36465*cosh(x)^10 + 64350*cosh(x)^8 - 60060*cosh(x)^6 + 34650*cosh(x)^4 - 7560*x*cosh(x)^2 + (8398*cosh(x)^12 - 36465*cosh(x)^10 + 64350*cosh(x)^8 - 60060*cosh(x)^6 + 34650*cosh(x)^4 - 7560*x*cosh(x)^2 - 70)*e^(4*x) - 2*(8398*cosh(x)^12 - 36465*cosh(x)^10 + 64350*cosh(x)^8 - 60060*cosh(x)^6 + 34650*cosh(x)^4 - 7560*x*cosh(x)^2 - 70)*e^(2*x) - 70)*sinh(x)^8 - 2100*cosh(x)^8 + 240*(646*cosh(x)^13 - 3315*cosh(x)^11 + 7150*cosh(x)^9 - 8580*cosh(x)^7 + 6930*cosh(x)^5 - 2520*x*cosh(x)^3 + (646*cosh(x)^13 - 3315*cosh(x)^11 + 7150*cosh(x)^9 - 8580*cosh(x)^7 + 6930*cosh(x)^5 - 2520*x*cosh(x)^3 - 70*cosh(x))*e^(4*x) - 2*(646*cosh(x)^13 - 3315*cosh(x)^11 + 7150*cosh(x)^9 - 8580*cosh(x)^7 + 6930*cosh(x)^5 - 2520*x*cosh(x)^3 - 70*cosh(x))*e^(2*x) - 70*cosh(x))*sinh(x)^7 + 60*(1292*cosh(x)^14 - 7735*cosh(x)^12 + 20020*cosh(x)^10 - 30030*cosh(x)^8 + 32340*cosh(x)^6 - 17640*x*cosh(x)^4 - 980*cosh(x)^2 + (1292*cosh(x)^14 - 7735*cosh(x)^12 + 20020*cosh(x)^10 - 30030*cosh(x)^8 + 32340*cosh(x)^6 - 17640*x*cosh(x)^4 - 980*cosh(x)^2 + 10)*e^(4*x) - 2*(1292*cosh(x)^14 - 7735*cosh(x)^12 + 20020*cosh(x)^10 - 30030*cosh(x)^8 + 32340*cosh(x)^6 - 17640*x*cosh(x)^4 - 980*cosh(x)^2 + 10)*e^(2*x) + 10)*sinh(x)^6 + 600*cosh(x)^6 + 24*(1292*cosh(x)^15 - 8925*cosh(x)^13 + 27300*cosh(x)^11 - 50050*cosh(x)^9 + 69300*cosh(x)^7 - 52920*x*cosh(x)^5 - 4900*cosh(x)^3 + (1292*cosh(x)^15 - 8925*cosh(x)^13 + 27300*cosh(x)^11 - 50050*cosh(x)^9 + 69300*cosh(x)^7 - 52920*x*cosh(x)^5 - 4900*cosh(x)^3 + 150*cosh(x))*e^(4*x) - 2*(1292*cosh(x)^15 - 8925*cosh(x)^13 + 27300*cosh(x)^11 - 50050*cosh(x)^9 + 69300*cosh(x)^7 - 52920*x*cosh(x)^5 - 4900*cosh(x)^3 + 150*cosh(x))*e^(2*x) + 150*cosh(x))*sinh(x)^5 + 30*(323*cosh(x)^16 - 2550*cosh(x)^14 + 9100*cosh(x)^12 - 20020*cosh(x)^10 + 34650*cosh(x)^8 - 35280*x*cosh(x)^6 - 4900*cosh(x)^4 + 300*cosh(x)^2 + (323*cosh(x)^16 - 2550*cosh(x)^14 + 9100*cosh(x)^12 - 20020*cosh(x)^10 + 34650*cosh(x)^8 - 35280*x*cosh(x)^6 - 4900*cosh(x)^4 + 300*cosh(x)^2 - 5)*e^(4*x) - 2*(323*cosh(x)^16 - 2550*cosh(x)^14 + 9100*cosh(x)^12 - 20020*cosh(x)^10 + 34650*cosh(x)^8 - 35280*x*cosh(x)^6 - 4900*cosh(x)^4 + 300*cosh(x)^2 - 5)*e^(2*x) - 5)*sinh(x)^4 - 150*cosh(x)^4 + 120*(19*cosh(x)^17 - 170*cosh(x)^15 + 700*cosh(x)^13 - 1820*cosh(x)^11 + 3850*cosh(x)^9 - 5040*x*cosh(x)^7 - 980*cosh(x)^5 + 100*cosh(x)^3 + (19*cosh(x)^17 - 170*cosh(x)^15 + 700*cosh(x)^13 - 1820*cosh(x)^11 + 3850*cosh(x)^9 - 5040*x*cosh(x)^7 - 980*cosh(x)^5 + 100*cosh(x)^3 - 5*cosh(x))*e^(4*x) - 2*(19*cosh(x)^17 - 170*cosh(x)^15 + 700*cosh(x)^13 - 1820*cosh(x)^11 + 3850*cosh(x)^9 - 5040*x*cosh(x)^7 - 980*cosh(x)^5 + 100*cosh(x)^3 - 5*cosh(x))*e^(2*x) - 5*cosh(x))*sinh(x)^3 + 5*(76*cosh(x)^18 - 765*cosh(x)^16 + 3600*cosh(x)^14 - 10920*cosh(x)^12 + 27720*cosh(x)^10 - 45360*x*cosh(x)^8 - 11760*cosh(x)^6 + 1800*cosh(x)^4 - 180*cosh(x)^2 + (76*cosh(x)^18 - 765*cosh(x)^16 + 3600*cosh(x)^14 - 10920*cosh(x)^12 + 27720*cosh(x)^10 - 45360*x*cosh(x)^8 - 11760*cosh(x)^6 + 1800*cosh(x)^4 - 180*cosh(x)^2 + 5)*e^(4*x) - 2*(76*cosh(x)^18 - 765*cosh(x)^16 + 3600*cosh(x)^14 - 10920*cosh(x)^12 + 27720*cosh(x)^10 - 45360*x*cosh(x)^8 - 11760*cosh(x)^6 + 1800*cosh(x)^4 - 180*cosh(x)^2 + 5)*e^(2*x) + 5)*sinh(x)^2 + 25*cosh(x)^2 + (2*cosh(x)^20 - 25*cosh(x)^18 + 150*cosh(x)^16 - 600*cosh(x)^14 + 2100*cosh(x)^12 - 5040*x*cosh(x)^10 - 2100*cosh(x)^8 + 600*cosh(x)^6 - 150*cosh(x)^4 + 25*cosh(x)^2 - 2)*e^(4*x) - 2*(2*cosh(x)^20 - 25*cosh(x)^18 + 150*cosh(x)^16 - 600*cosh(x)^14 + 2100*cosh(x)^12 - 5040*x*cosh(x)^10 - 2100*cosh(x)^8 + 600*cosh(x)^6 - 150*cosh(x)^4 + 25*cosh(x)^2 - 2)*e^(2*x) + 10*(4*cosh(x)^19 - 45*cosh(x)^17 + 240*cosh(x)^15 - 840*cosh(x)^13 + 2520*cosh(x)^11 - 5040*x*cosh(x)^9 - 1680*cosh(x)^7 + 360*cosh(x)^5 - 60*cosh(x)^3 + (4*cosh(x)^19 - 45*cosh(x)^17 + 240*cosh(x)^15 - 840*cosh(x)^13 + 2520*cosh(x)^11 - 5040*x*cosh(x)^9 - 1680*cosh(x)^7 + 360*cosh(x)^5 - 60*cosh(x)^3 + 5*cosh(x))*e^(4*x) - 2*(4*cosh(x)^19 - 45*cosh(x)^17 + 240*cosh(x)^15 - 840*cosh(x)^13 + 2520*cosh(x)^11 - 5040*x*cosh(x)^9 - 1680*cosh(x)^7 + 360*cosh(x)^5 - 60*cosh(x)^3 + 5*cosh(x))*e^(2*x) + 5*cosh(x))*sinh(x) - 2)*sqrt(a/(e^(8*x) - 4*e^(6*x) + 6*e^(4*x) - 4*e^(2*x) + 1))*e^(2*x)/(a^3*cosh(x)^10*e^(2*x) + 10*a^3*cosh(x)^9*e^(2*x)*sinh(x) + 45*a^3*cosh(x)^8*e^(2*x)*sinh(x)^2 + 120*a^3*cosh(x)^7*e^(2*x)*sinh(x)^3 + 210*a^3*cosh(x)^6*e^(2*x)*sinh(x)^4 + 252*a^3*cosh(x)^5*e^(2*x)*sinh(x)^5 + 210*a^3*cosh(x)^4*e^(2*x)*sinh(x)^6 + 120*a^3*cosh(x)^3*e^(2*x)*sinh(x)^7 + 45*a^3*cosh(x)^2*e^(2*x)*sinh(x)^8 + 10*a^3*cosh(x)*e^(2*x)*sinh(x)^9 + a^3*e^(2*x)*sinh(x)^10)","B",0
49,1,32,0,1.425902," ","integrate(1/(a+I*a*csch(b*x+a)),x, algorithm=""fricas"")","\frac{b x e^{\left(b x + a\right)} + i \, b x + 2 i}{a b e^{\left(b x + a\right)} + i \, a b}"," ",0,"(b*x*e^(b*x + a) + I*b*x + 2*I)/(a*b*e^(b*x + a) + I*a*b)","A",0
50,1,32,0,0.753189," ","integrate(1/(a-I*a*csch(b*x+a)),x, algorithm=""fricas"")","\frac{b x e^{\left(b x + a\right)} - i \, b x - 2 i}{a b e^{\left(b x + a\right)} - i \, a b}"," ",0,"(b*x*e^(b*x + a) - I*b*x - 2*I)/(a*b*e^(b*x + a) - I*a*b)","A",0
51,1,569,0,0.615659," ","integrate((a+I*a*csch(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{6 \, \sqrt{\frac{a^{5}}{d^{2}}} {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} \log\left(\frac{{\left(2 \, a^{3} e^{\left(d x + c\right)} + 2 i \, a^{3} + 2 \, \sqrt{\frac{a^{5}}{d^{2}}} {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}}\right)} e^{\left(-d x - c\right)}}{d}\right) - 6 \, \sqrt{\frac{a^{5}}{d^{2}}} {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} \log\left(\frac{{\left(2 \, a^{3} e^{\left(d x + c\right)} + 2 i \, a^{3} - 2 \, \sqrt{\frac{a^{5}}{d^{2}}} {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}}\right)} e^{\left(-d x - c\right)}}{d}\right) + 6 \, \sqrt{\frac{a^{5}}{d^{2}}} {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} \log\left(\frac{{\left(2 \, \sqrt{\frac{a^{5}}{d^{2}}} {\left(a d e^{\left(2 \, d x + 2 \, c\right)} - i \, a d e^{\left(d x + c\right)} - 2 \, a d\right)} + {\left(2 \, a^{3} e^{\left(3 \, d x + 3 \, c\right)} - 4 i \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a^{3} e^{\left(d x + c\right)} + 4 i \, a^{3}\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right) - 6 \, \sqrt{\frac{a^{5}}{d^{2}}} {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} \log\left(-\frac{{\left(2 \, \sqrt{\frac{a^{5}}{d^{2}}} {\left(a d e^{\left(2 \, d x + 2 \, c\right)} - i \, a d e^{\left(d x + c\right)} - 2 \, a d\right)} - {\left(2 \, a^{3} e^{\left(3 \, d x + 3 \, c\right)} - 4 i \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a^{3} e^{\left(d x + c\right)} + 4 i \, a^{3}\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right) + {\left(64 \, a^{2} e^{\left(3 \, d x + 3 \, c\right)} - 48 i \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 48 \, a^{2} e^{\left(d x + c\right)} + 64 i \, a^{2}\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}}}{12 \, {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)}}"," ",0,"1/12*(6*sqrt(a^5/d^2)*(d*e^(2*d*x + 2*c) - d)*log((2*a^3*e^(d*x + c) + 2*I*a^3 + 2*sqrt(a^5/d^2)*(d*e^(2*d*x + 2*c) - d)*sqrt(a/(e^(2*d*x + 2*c) - 1)))*e^(-d*x - c)/d) - 6*sqrt(a^5/d^2)*(d*e^(2*d*x + 2*c) - d)*log((2*a^3*e^(d*x + c) + 2*I*a^3 - 2*sqrt(a^5/d^2)*(d*e^(2*d*x + 2*c) - d)*sqrt(a/(e^(2*d*x + 2*c) - 1)))*e^(-d*x - c)/d) + 6*sqrt(a^5/d^2)*(d*e^(2*d*x + 2*c) - d)*log((2*sqrt(a^5/d^2)*(a*d*e^(2*d*x + 2*c) - I*a*d*e^(d*x + c) - 2*a*d) + (2*a^3*e^(3*d*x + 3*c) - 4*I*a^3*e^(2*d*x + 2*c) - 2*a^3*e^(d*x + c) + 4*I*a^3)*sqrt(a/(e^(2*d*x + 2*c) - 1)))*e^(-2*d*x - 2*c)/d) - 6*sqrt(a^5/d^2)*(d*e^(2*d*x + 2*c) - d)*log(-(2*sqrt(a^5/d^2)*(a*d*e^(2*d*x + 2*c) - I*a*d*e^(d*x + c) - 2*a*d) - (2*a^3*e^(3*d*x + 3*c) - 4*I*a^3*e^(2*d*x + 2*c) - 2*a^3*e^(d*x + c) + 4*I*a^3)*sqrt(a/(e^(2*d*x + 2*c) - 1)))*e^(-2*d*x - 2*c)/d) + (64*a^2*e^(3*d*x + 3*c) - 48*I*a^2*e^(2*d*x + 2*c) - 48*a^2*e^(d*x + c) + 64*I*a^2)*sqrt(a/(e^(2*d*x + 2*c) - 1)))/(d*e^(2*d*x + 2*c) - d)","B",0
52,1,467,0,0.579301," ","integrate((a+I*a*csch(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{\frac{a^{3}}{d^{2}}} d \log\left(\frac{{\left(2 \, a^{2} e^{\left(d x + c\right)} + 2 i \, a^{2} + 2 \, {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} \sqrt{\frac{a^{3}}{d^{2}}} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}}\right)} e^{\left(-d x - c\right)}}{d}\right) - 2 \, \sqrt{\frac{a^{3}}{d^{2}}} d \log\left(\frac{{\left(2 \, a^{2} e^{\left(d x + c\right)} + 2 i \, a^{2} - 2 \, {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} \sqrt{\frac{a^{3}}{d^{2}}} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}}\right)} e^{\left(-d x - c\right)}}{d}\right) + 2 \, \sqrt{\frac{a^{3}}{d^{2}}} d \log\left(\frac{{\left(2 \, {\left(a d e^{\left(2 \, d x + 2 \, c\right)} - i \, a d e^{\left(d x + c\right)} - 2 \, a d\right)} \sqrt{\frac{a^{3}}{d^{2}}} + {\left(2 \, a^{2} e^{\left(3 \, d x + 3 \, c\right)} - 4 i \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a^{2} e^{\left(d x + c\right)} + 4 i \, a^{2}\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right) - 2 \, \sqrt{\frac{a^{3}}{d^{2}}} d \log\left(-\frac{{\left(2 \, {\left(a d e^{\left(2 \, d x + 2 \, c\right)} - i \, a d e^{\left(d x + c\right)} - 2 \, a d\right)} \sqrt{\frac{a^{3}}{d^{2}}} - {\left(2 \, a^{2} e^{\left(3 \, d x + 3 \, c\right)} - 4 i \, a^{2} e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a^{2} e^{\left(d x + c\right)} + 4 i \, a^{2}\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right) + {\left(8 \, a e^{\left(d x + c\right)} - 8 i \, a\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}}}{4 \, d}"," ",0,"1/4*(2*sqrt(a^3/d^2)*d*log((2*a^2*e^(d*x + c) + 2*I*a^2 + 2*(d*e^(2*d*x + 2*c) - d)*sqrt(a^3/d^2)*sqrt(a/(e^(2*d*x + 2*c) - 1)))*e^(-d*x - c)/d) - 2*sqrt(a^3/d^2)*d*log((2*a^2*e^(d*x + c) + 2*I*a^2 - 2*(d*e^(2*d*x + 2*c) - d)*sqrt(a^3/d^2)*sqrt(a/(e^(2*d*x + 2*c) - 1)))*e^(-d*x - c)/d) + 2*sqrt(a^3/d^2)*d*log((2*(a*d*e^(2*d*x + 2*c) - I*a*d*e^(d*x + c) - 2*a*d)*sqrt(a^3/d^2) + (2*a^2*e^(3*d*x + 3*c) - 4*I*a^2*e^(2*d*x + 2*c) - 2*a^2*e^(d*x + c) + 4*I*a^2)*sqrt(a/(e^(2*d*x + 2*c) - 1)))*e^(-2*d*x - 2*c)/d) - 2*sqrt(a^3/d^2)*d*log(-(2*(a*d*e^(2*d*x + 2*c) - I*a*d*e^(d*x + c) - 2*a*d)*sqrt(a^3/d^2) - (2*a^2*e^(3*d*x + 3*c) - 4*I*a^2*e^(2*d*x + 2*c) - 2*a^2*e^(d*x + c) + 4*I*a^2)*sqrt(a/(e^(2*d*x + 2*c) - 1)))*e^(-2*d*x - 2*c)/d) + (8*a*e^(d*x + c) - 8*I*a)*sqrt(a/(e^(2*d*x + 2*c) - 1)))/d","B",0
53,1,386,0,0.945245," ","integrate((a+I*a*csch(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{\frac{a}{d^{2}}} \log\left(\frac{{\left(2 \, {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} \sqrt{\frac{a}{d^{2}}} + 2 \, a e^{\left(d x + c\right)} + 2 i \, a\right)} e^{\left(-d x - c\right)}}{d}\right) - \frac{1}{2} \, \sqrt{\frac{a}{d^{2}}} \log\left(-\frac{{\left(2 \, {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} \sqrt{\frac{a}{d^{2}}} - 2 \, a e^{\left(d x + c\right)} - 2 i \, a\right)} e^{\left(-d x - c\right)}}{d}\right) + \frac{1}{2} \, \sqrt{\frac{a}{d^{2}}} \log\left(\frac{{\left({\left(2 \, a e^{\left(3 \, d x + 3 \, c\right)} - 4 i \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a e^{\left(d x + c\right)} + 4 i \, a\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} + 2 \, {\left(a d e^{\left(2 \, d x + 2 \, c\right)} - i \, a d e^{\left(d x + c\right)} - 2 \, a d\right)} \sqrt{\frac{a}{d^{2}}}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right) - \frac{1}{2} \, \sqrt{\frac{a}{d^{2}}} \log\left(\frac{{\left({\left(2 \, a e^{\left(3 \, d x + 3 \, c\right)} - 4 i \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a e^{\left(d x + c\right)} + 4 i \, a\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} - 2 \, {\left(a d e^{\left(2 \, d x + 2 \, c\right)} - i \, a d e^{\left(d x + c\right)} - 2 \, a d\right)} \sqrt{\frac{a}{d^{2}}}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)"," ",0,"1/2*sqrt(a/d^2)*log((2*(d*e^(2*d*x + 2*c) - d)*sqrt(a/(e^(2*d*x + 2*c) - 1))*sqrt(a/d^2) + 2*a*e^(d*x + c) + 2*I*a)*e^(-d*x - c)/d) - 1/2*sqrt(a/d^2)*log(-(2*(d*e^(2*d*x + 2*c) - d)*sqrt(a/(e^(2*d*x + 2*c) - 1))*sqrt(a/d^2) - 2*a*e^(d*x + c) - 2*I*a)*e^(-d*x - c)/d) + 1/2*sqrt(a/d^2)*log(((2*a*e^(3*d*x + 3*c) - 4*I*a*e^(2*d*x + 2*c) - 2*a*e^(d*x + c) + 4*I*a)*sqrt(a/(e^(2*d*x + 2*c) - 1)) + 2*(a*d*e^(2*d*x + 2*c) - I*a*d*e^(d*x + c) - 2*a*d)*sqrt(a/d^2))*e^(-2*d*x - 2*c)/d) - 1/2*sqrt(a/d^2)*log(((2*a*e^(3*d*x + 3*c) - 4*I*a*e^(2*d*x + 2*c) - 2*a*e^(d*x + c) + 4*I*a)*sqrt(a/(e^(2*d*x + 2*c) - 1)) - 2*(a*d*e^(2*d*x + 2*c) - I*a*d*e^(d*x + c) - 2*a*d)*sqrt(a/d^2))*e^(-2*d*x - 2*c)/d)","B",0
54,1,561,0,1.497473," ","integrate(1/(a+I*a*csch(d*x+c))^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \sqrt{\frac{1}{a d^{2}}} \log\left({\left(2 \, \sqrt{2} {\left(a d e^{\left(2 \, d x + 2 \, c\right)} - a d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} \sqrt{\frac{1}{a d^{2}}} + 2 \, a e^{\left(d x + c\right)} - 2 i \, a\right)} e^{\left(-d x - c\right)}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\frac{1}{a d^{2}}} \log\left(-{\left(2 \, \sqrt{2} {\left(a d e^{\left(2 \, d x + 2 \, c\right)} - a d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} \sqrt{\frac{1}{a d^{2}}} - 2 \, a e^{\left(d x + c\right)} + 2 i \, a\right)} e^{\left(-d x - c\right)}\right) + \frac{1}{2} \, \sqrt{\frac{1}{a d^{2}}} \log\left(\frac{{\left(2 \, {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} \sqrt{\frac{1}{a d^{2}}} + 2 \, e^{\left(d x + c\right)} + 2 i\right)} e^{\left(-d x - c\right)}}{d}\right) - \frac{1}{2} \, \sqrt{\frac{1}{a d^{2}}} \log\left(-\frac{{\left(2 \, {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} \sqrt{\frac{1}{a d^{2}}} - 2 \, e^{\left(d x + c\right)} - 2 i\right)} e^{\left(-d x - c\right)}}{d}\right) + \frac{1}{2} \, \sqrt{\frac{1}{a d^{2}}} \log\left(\frac{{\left({\left(2 \, a d e^{\left(2 \, d x + 2 \, c\right)} - 2 i \, a d e^{\left(d x + c\right)} - 4 \, a d\right)} \sqrt{\frac{1}{a d^{2}}} + \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} {\left(2 \, e^{\left(3 \, d x + 3 \, c\right)} - 4 i \, e^{\left(2 \, d x + 2 \, c\right)} - 2 \, e^{\left(d x + c\right)} + 4 i\right)}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right) - \frac{1}{2} \, \sqrt{\frac{1}{a d^{2}}} \log\left(-\frac{{\left({\left(2 \, a d e^{\left(2 \, d x + 2 \, c\right)} - 2 i \, a d e^{\left(d x + c\right)} - 4 \, a d\right)} \sqrt{\frac{1}{a d^{2}}} - \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} {\left(2 \, e^{\left(3 \, d x + 3 \, c\right)} - 4 i \, e^{\left(2 \, d x + 2 \, c\right)} - 2 \, e^{\left(d x + c\right)} + 4 i\right)}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)"," ",0,"-1/2*sqrt(2)*sqrt(1/(a*d^2))*log((2*sqrt(2)*(a*d*e^(2*d*x + 2*c) - a*d)*sqrt(a/(e^(2*d*x + 2*c) - 1))*sqrt(1/(a*d^2)) + 2*a*e^(d*x + c) - 2*I*a)*e^(-d*x - c)) + 1/2*sqrt(2)*sqrt(1/(a*d^2))*log(-(2*sqrt(2)*(a*d*e^(2*d*x + 2*c) - a*d)*sqrt(a/(e^(2*d*x + 2*c) - 1))*sqrt(1/(a*d^2)) - 2*a*e^(d*x + c) + 2*I*a)*e^(-d*x - c)) + 1/2*sqrt(1/(a*d^2))*log((2*(d*e^(2*d*x + 2*c) - d)*sqrt(a/(e^(2*d*x + 2*c) - 1))*sqrt(1/(a*d^2)) + 2*e^(d*x + c) + 2*I)*e^(-d*x - c)/d) - 1/2*sqrt(1/(a*d^2))*log(-(2*(d*e^(2*d*x + 2*c) - d)*sqrt(a/(e^(2*d*x + 2*c) - 1))*sqrt(1/(a*d^2)) - 2*e^(d*x + c) - 2*I)*e^(-d*x - c)/d) + 1/2*sqrt(1/(a*d^2))*log(((2*a*d*e^(2*d*x + 2*c) - 2*I*a*d*e^(d*x + c) - 4*a*d)*sqrt(1/(a*d^2)) + sqrt(a/(e^(2*d*x + 2*c) - 1))*(2*e^(3*d*x + 3*c) - 4*I*e^(2*d*x + 2*c) - 2*e^(d*x + c) + 4*I))*e^(-2*d*x - 2*c)/d) - 1/2*sqrt(1/(a*d^2))*log(-((2*a*d*e^(2*d*x + 2*c) - 2*I*a*d*e^(d*x + c) - 4*a*d)*sqrt(1/(a*d^2)) - sqrt(a/(e^(2*d*x + 2*c) - 1))*(2*e^(3*d*x + 3*c) - 4*I*e^(2*d*x + 2*c) - 2*e^(d*x + c) + 4*I))*e^(-2*d*x - 2*c)/d)","B",0
55,1,886,0,2.453997," ","integrate(1/(a+I*a*csch(d*x+c))^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{\frac{1}{2}} {\left(5 \, a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 10 i \, a^{2} d e^{\left(d x + c\right)} - 5 \, a^{2} d\right)} \sqrt{\frac{1}{a^{3} d^{2}}} \log\left({\left(4 \, \sqrt{\frac{1}{2}} {\left(a^{2} d e^{\left(2 \, d x + 2 \, c\right)} - a^{2} d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} \sqrt{\frac{1}{a^{3} d^{2}}} + 2 \, a e^{\left(d x + c\right)} - 2 i \, a\right)} e^{\left(-d x - c\right)}\right) - \sqrt{\frac{1}{2}} {\left(5 \, a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 10 i \, a^{2} d e^{\left(d x + c\right)} - 5 \, a^{2} d\right)} \sqrt{\frac{1}{a^{3} d^{2}}} \log\left(-{\left(4 \, \sqrt{\frac{1}{2}} {\left(a^{2} d e^{\left(2 \, d x + 2 \, c\right)} - a^{2} d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} \sqrt{\frac{1}{a^{3} d^{2}}} - 2 \, a e^{\left(d x + c\right)} + 2 i \, a\right)} e^{\left(-d x - c\right)}\right) - {\left(2 \, a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 4 i \, a^{2} d e^{\left(d x + c\right)} - 2 \, a^{2} d\right)} \sqrt{\frac{1}{a^{3} d^{2}}} \log\left(\frac{{\left(2 \, {\left(a d e^{\left(2 \, d x + 2 \, c\right)} - a d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} \sqrt{\frac{1}{a^{3} d^{2}}} + 2 \, e^{\left(d x + c\right)} + 2 i\right)} e^{\left(-d x - c\right)}}{a d}\right) + {\left(2 \, a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 4 i \, a^{2} d e^{\left(d x + c\right)} - 2 \, a^{2} d\right)} \sqrt{\frac{1}{a^{3} d^{2}}} \log\left(-\frac{{\left(2 \, {\left(a d e^{\left(2 \, d x + 2 \, c\right)} - a d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} \sqrt{\frac{1}{a^{3} d^{2}}} - 2 \, e^{\left(d x + c\right)} - 2 i\right)} e^{\left(-d x - c\right)}}{a d}\right) - {\left(2 \, a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 4 i \, a^{2} d e^{\left(d x + c\right)} - 2 \, a^{2} d\right)} \sqrt{\frac{1}{a^{3} d^{2}}} \log\left(\frac{{\left({\left(2 \, a^{2} d e^{\left(2 \, d x + 2 \, c\right)} - 2 i \, a^{2} d e^{\left(d x + c\right)} - 4 \, a^{2} d\right)} \sqrt{\frac{1}{a^{3} d^{2}}} + \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} {\left(2 \, e^{\left(3 \, d x + 3 \, c\right)} - 4 i \, e^{\left(2 \, d x + 2 \, c\right)} - 2 \, e^{\left(d x + c\right)} + 4 i\right)}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{a d}\right) + {\left(2 \, a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 4 i \, a^{2} d e^{\left(d x + c\right)} - 2 \, a^{2} d\right)} \sqrt{\frac{1}{a^{3} d^{2}}} \log\left(-\frac{{\left({\left(2 \, a^{2} d e^{\left(2 \, d x + 2 \, c\right)} - 2 i \, a^{2} d e^{\left(d x + c\right)} - 4 \, a^{2} d\right)} \sqrt{\frac{1}{a^{3} d^{2}}} - \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} {\left(2 \, e^{\left(3 \, d x + 3 \, c\right)} - 4 i \, e^{\left(2 \, d x + 2 \, c\right)} - 2 \, e^{\left(d x + c\right)} + 4 i\right)}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{a d}\right) + \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} {\left(2 \, e^{\left(3 \, d x + 3 \, c\right)} - 2 i \, e^{\left(2 \, d x + 2 \, c\right)} - 2 \, e^{\left(d x + c\right)} + 2 i\right)}}{4 \, a^{2} d e^{\left(2 \, d x + 2 \, c\right)} + 8 i \, a^{2} d e^{\left(d x + c\right)} - 4 \, a^{2} d}"," ",0,"-(sqrt(1/2)*(5*a^2*d*e^(2*d*x + 2*c) + 10*I*a^2*d*e^(d*x + c) - 5*a^2*d)*sqrt(1/(a^3*d^2))*log((4*sqrt(1/2)*(a^2*d*e^(2*d*x + 2*c) - a^2*d)*sqrt(a/(e^(2*d*x + 2*c) - 1))*sqrt(1/(a^3*d^2)) + 2*a*e^(d*x + c) - 2*I*a)*e^(-d*x - c)) - sqrt(1/2)*(5*a^2*d*e^(2*d*x + 2*c) + 10*I*a^2*d*e^(d*x + c) - 5*a^2*d)*sqrt(1/(a^3*d^2))*log(-(4*sqrt(1/2)*(a^2*d*e^(2*d*x + 2*c) - a^2*d)*sqrt(a/(e^(2*d*x + 2*c) - 1))*sqrt(1/(a^3*d^2)) - 2*a*e^(d*x + c) + 2*I*a)*e^(-d*x - c)) - (2*a^2*d*e^(2*d*x + 2*c) + 4*I*a^2*d*e^(d*x + c) - 2*a^2*d)*sqrt(1/(a^3*d^2))*log((2*(a*d*e^(2*d*x + 2*c) - a*d)*sqrt(a/(e^(2*d*x + 2*c) - 1))*sqrt(1/(a^3*d^2)) + 2*e^(d*x + c) + 2*I)*e^(-d*x - c)/(a*d)) + (2*a^2*d*e^(2*d*x + 2*c) + 4*I*a^2*d*e^(d*x + c) - 2*a^2*d)*sqrt(1/(a^3*d^2))*log(-(2*(a*d*e^(2*d*x + 2*c) - a*d)*sqrt(a/(e^(2*d*x + 2*c) - 1))*sqrt(1/(a^3*d^2)) - 2*e^(d*x + c) - 2*I)*e^(-d*x - c)/(a*d)) - (2*a^2*d*e^(2*d*x + 2*c) + 4*I*a^2*d*e^(d*x + c) - 2*a^2*d)*sqrt(1/(a^3*d^2))*log(((2*a^2*d*e^(2*d*x + 2*c) - 2*I*a^2*d*e^(d*x + c) - 4*a^2*d)*sqrt(1/(a^3*d^2)) + sqrt(a/(e^(2*d*x + 2*c) - 1))*(2*e^(3*d*x + 3*c) - 4*I*e^(2*d*x + 2*c) - 2*e^(d*x + c) + 4*I))*e^(-2*d*x - 2*c)/(a*d)) + (2*a^2*d*e^(2*d*x + 2*c) + 4*I*a^2*d*e^(d*x + c) - 2*a^2*d)*sqrt(1/(a^3*d^2))*log(-((2*a^2*d*e^(2*d*x + 2*c) - 2*I*a^2*d*e^(d*x + c) - 4*a^2*d)*sqrt(1/(a^3*d^2)) - sqrt(a/(e^(2*d*x + 2*c) - 1))*(2*e^(3*d*x + 3*c) - 4*I*e^(2*d*x + 2*c) - 2*e^(d*x + c) + 4*I))*e^(-2*d*x - 2*c)/(a*d)) + sqrt(a/(e^(2*d*x + 2*c) - 1))*(2*e^(3*d*x + 3*c) - 2*I*e^(2*d*x + 2*c) - 2*e^(d*x + c) + 2*I))/(4*a^2*d*e^(2*d*x + 2*c) + 8*I*a^2*d*e^(d*x + c) - 4*a^2*d)","B",0
56,1,386,0,0.581557," ","integrate((a-I*a*csch(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{\frac{a}{d^{2}}} \log\left(\frac{{\left(2 \, {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} \sqrt{\frac{a}{d^{2}}} + 2 \, a e^{\left(d x + c\right)} - 2 i \, a\right)} e^{\left(-d x - c\right)}}{d}\right) - \frac{1}{2} \, \sqrt{\frac{a}{d^{2}}} \log\left(-\frac{{\left(2 \, {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} \sqrt{\frac{a}{d^{2}}} - 2 \, a e^{\left(d x + c\right)} + 2 i \, a\right)} e^{\left(-d x - c\right)}}{d}\right) + \frac{1}{2} \, \sqrt{\frac{a}{d^{2}}} \log\left(\frac{{\left({\left(2 \, a e^{\left(3 \, d x + 3 \, c\right)} + 4 i \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a e^{\left(d x + c\right)} - 4 i \, a\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} + 2 \, {\left(a d e^{\left(2 \, d x + 2 \, c\right)} + i \, a d e^{\left(d x + c\right)} - 2 \, a d\right)} \sqrt{\frac{a}{d^{2}}}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right) - \frac{1}{2} \, \sqrt{\frac{a}{d^{2}}} \log\left(\frac{{\left({\left(2 \, a e^{\left(3 \, d x + 3 \, c\right)} + 4 i \, a e^{\left(2 \, d x + 2 \, c\right)} - 2 \, a e^{\left(d x + c\right)} - 4 i \, a\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} - 2 \, {\left(a d e^{\left(2 \, d x + 2 \, c\right)} + i \, a d e^{\left(d x + c\right)} - 2 \, a d\right)} \sqrt{\frac{a}{d^{2}}}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)"," ",0,"1/2*sqrt(a/d^2)*log((2*(d*e^(2*d*x + 2*c) - d)*sqrt(a/(e^(2*d*x + 2*c) - 1))*sqrt(a/d^2) + 2*a*e^(d*x + c) - 2*I*a)*e^(-d*x - c)/d) - 1/2*sqrt(a/d^2)*log(-(2*(d*e^(2*d*x + 2*c) - d)*sqrt(a/(e^(2*d*x + 2*c) - 1))*sqrt(a/d^2) - 2*a*e^(d*x + c) + 2*I*a)*e^(-d*x - c)/d) + 1/2*sqrt(a/d^2)*log(((2*a*e^(3*d*x + 3*c) + 4*I*a*e^(2*d*x + 2*c) - 2*a*e^(d*x + c) - 4*I*a)*sqrt(a/(e^(2*d*x + 2*c) - 1)) + 2*(a*d*e^(2*d*x + 2*c) + I*a*d*e^(d*x + c) - 2*a*d)*sqrt(a/d^2))*e^(-2*d*x - 2*c)/d) - 1/2*sqrt(a/d^2)*log(((2*a*e^(3*d*x + 3*c) + 4*I*a*e^(2*d*x + 2*c) - 2*a*e^(d*x + c) - 4*I*a)*sqrt(a/(e^(2*d*x + 2*c) - 1)) - 2*(a*d*e^(2*d*x + 2*c) + I*a*d*e^(d*x + c) - 2*a*d)*sqrt(a/d^2))*e^(-2*d*x - 2*c)/d)","B",0
57,1,561,0,1.281404," ","integrate(1/(a-I*a*csch(d*x+c))^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \sqrt{\frac{1}{a d^{2}}} \log\left({\left(2 \, \sqrt{2} {\left(a d e^{\left(2 \, d x + 2 \, c\right)} - a d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} \sqrt{\frac{1}{a d^{2}}} + 2 \, a e^{\left(d x + c\right)} + 2 i \, a\right)} e^{\left(-d x - c\right)}\right) + \frac{1}{2} \, \sqrt{2} \sqrt{\frac{1}{a d^{2}}} \log\left(-{\left(2 \, \sqrt{2} {\left(a d e^{\left(2 \, d x + 2 \, c\right)} - a d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} \sqrt{\frac{1}{a d^{2}}} - 2 \, a e^{\left(d x + c\right)} - 2 i \, a\right)} e^{\left(-d x - c\right)}\right) + \frac{1}{2} \, \sqrt{\frac{1}{a d^{2}}} \log\left(\frac{{\left(2 \, {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} \sqrt{\frac{1}{a d^{2}}} + 2 \, e^{\left(d x + c\right)} - 2 i\right)} e^{\left(-d x - c\right)}}{d}\right) - \frac{1}{2} \, \sqrt{\frac{1}{a d^{2}}} \log\left(-\frac{{\left(2 \, {\left(d e^{\left(2 \, d x + 2 \, c\right)} - d\right)} \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} \sqrt{\frac{1}{a d^{2}}} - 2 \, e^{\left(d x + c\right)} + 2 i\right)} e^{\left(-d x - c\right)}}{d}\right) + \frac{1}{2} \, \sqrt{\frac{1}{a d^{2}}} \log\left(\frac{{\left({\left(2 \, a d e^{\left(2 \, d x + 2 \, c\right)} + 2 i \, a d e^{\left(d x + c\right)} - 4 \, a d\right)} \sqrt{\frac{1}{a d^{2}}} + \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} {\left(2 \, e^{\left(3 \, d x + 3 \, c\right)} + 4 i \, e^{\left(2 \, d x + 2 \, c\right)} - 2 \, e^{\left(d x + c\right)} - 4 i\right)}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right) - \frac{1}{2} \, \sqrt{\frac{1}{a d^{2}}} \log\left(-\frac{{\left({\left(2 \, a d e^{\left(2 \, d x + 2 \, c\right)} + 2 i \, a d e^{\left(d x + c\right)} - 4 \, a d\right)} \sqrt{\frac{1}{a d^{2}}} - \sqrt{\frac{a}{e^{\left(2 \, d x + 2 \, c\right)} - 1}} {\left(2 \, e^{\left(3 \, d x + 3 \, c\right)} + 4 i \, e^{\left(2 \, d x + 2 \, c\right)} - 2 \, e^{\left(d x + c\right)} - 4 i\right)}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{d}\right)"," ",0,"-1/2*sqrt(2)*sqrt(1/(a*d^2))*log((2*sqrt(2)*(a*d*e^(2*d*x + 2*c) - a*d)*sqrt(a/(e^(2*d*x + 2*c) - 1))*sqrt(1/(a*d^2)) + 2*a*e^(d*x + c) + 2*I*a)*e^(-d*x - c)) + 1/2*sqrt(2)*sqrt(1/(a*d^2))*log(-(2*sqrt(2)*(a*d*e^(2*d*x + 2*c) - a*d)*sqrt(a/(e^(2*d*x + 2*c) - 1))*sqrt(1/(a*d^2)) - 2*a*e^(d*x + c) - 2*I*a)*e^(-d*x - c)) + 1/2*sqrt(1/(a*d^2))*log((2*(d*e^(2*d*x + 2*c) - d)*sqrt(a/(e^(2*d*x + 2*c) - 1))*sqrt(1/(a*d^2)) + 2*e^(d*x + c) - 2*I)*e^(-d*x - c)/d) - 1/2*sqrt(1/(a*d^2))*log(-(2*(d*e^(2*d*x + 2*c) - d)*sqrt(a/(e^(2*d*x + 2*c) - 1))*sqrt(1/(a*d^2)) - 2*e^(d*x + c) + 2*I)*e^(-d*x - c)/d) + 1/2*sqrt(1/(a*d^2))*log(((2*a*d*e^(2*d*x + 2*c) + 2*I*a*d*e^(d*x + c) - 4*a*d)*sqrt(1/(a*d^2)) + sqrt(a/(e^(2*d*x + 2*c) - 1))*(2*e^(3*d*x + 3*c) + 4*I*e^(2*d*x + 2*c) - 2*e^(d*x + c) - 4*I))*e^(-2*d*x - 2*c)/d) - 1/2*sqrt(1/(a*d^2))*log(-((2*a*d*e^(2*d*x + 2*c) + 2*I*a*d*e^(d*x + c) - 4*a*d)*sqrt(1/(a*d^2)) - sqrt(a/(e^(2*d*x + 2*c) - 1))*(2*e^(3*d*x + 3*c) + 4*I*e^(2*d*x + 2*c) - 2*e^(d*x + c) - 4*I))*e^(-2*d*x - 2*c)/d)","B",0
58,1,218,0,0.459773," ","integrate((3+3*I*csch(x))^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{3} \log\left({\left(\frac{2 \, \sqrt{3} {\left(\sqrt{3} e^{\left(2 \, x\right)} - \sqrt{3}\right)}}{\sqrt{e^{\left(2 \, x\right)} - 1}} + 6 \, e^{x} + 6 i\right)} e^{\left(-x\right)}\right) - \frac{1}{2} \, \sqrt{3} \log\left(-{\left(\frac{2 \, \sqrt{3} {\left(\sqrt{3} e^{\left(2 \, x\right)} - \sqrt{3}\right)}}{\sqrt{e^{\left(2 \, x\right)} - 1}} - 6 \, e^{x} - 6 i\right)} e^{\left(-x\right)}\right) + \frac{1}{2} \, \sqrt{3} \log\left({\left(6 \, \sqrt{3} e^{\left(2 \, x\right)} - 6 i \, \sqrt{3} e^{x} + \frac{\sqrt{3} {\left(6 \, e^{\left(3 \, x\right)} - 12 i \, e^{\left(2 \, x\right)} - 6 \, e^{x} + 12 i\right)}}{\sqrt{e^{\left(2 \, x\right)} - 1}} - 12 \, \sqrt{3}\right)} e^{\left(-2 \, x\right)}\right) - \frac{1}{2} \, \sqrt{3} \log\left(-{\left(6 \, \sqrt{3} e^{\left(2 \, x\right)} - 6 i \, \sqrt{3} e^{x} - \frac{\sqrt{3} {\left(6 \, e^{\left(3 \, x\right)} - 12 i \, e^{\left(2 \, x\right)} - 6 \, e^{x} + 12 i\right)}}{\sqrt{e^{\left(2 \, x\right)} - 1}} - 12 \, \sqrt{3}\right)} e^{\left(-2 \, x\right)}\right)"," ",0,"1/2*sqrt(3)*log((2*sqrt(3)*(sqrt(3)*e^(2*x) - sqrt(3))/sqrt(e^(2*x) - 1) + 6*e^x + 6*I)*e^(-x)) - 1/2*sqrt(3)*log(-(2*sqrt(3)*(sqrt(3)*e^(2*x) - sqrt(3))/sqrt(e^(2*x) - 1) - 6*e^x - 6*I)*e^(-x)) + 1/2*sqrt(3)*log((6*sqrt(3)*e^(2*x) - 6*I*sqrt(3)*e^x + sqrt(3)*(6*e^(3*x) - 12*I*e^(2*x) - 6*e^x + 12*I)/sqrt(e^(2*x) - 1) - 12*sqrt(3))*e^(-2*x)) - 1/2*sqrt(3)*log(-(6*sqrt(3)*e^(2*x) - 6*I*sqrt(3)*e^x - sqrt(3)*(6*e^(3*x) - 12*I*e^(2*x) - 6*e^x + 12*I)/sqrt(e^(2*x) - 1) - 12*sqrt(3))*e^(-2*x))","B",0
59,1,218,0,0.464434," ","integrate((3-3*I*csch(x))^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{3} \log\left({\left(\frac{2 \, \sqrt{3} {\left(\sqrt{3} e^{\left(2 \, x\right)} - \sqrt{3}\right)}}{\sqrt{e^{\left(2 \, x\right)} - 1}} + 6 \, e^{x} - 6 i\right)} e^{\left(-x\right)}\right) - \frac{1}{2} \, \sqrt{3} \log\left(-{\left(\frac{2 \, \sqrt{3} {\left(\sqrt{3} e^{\left(2 \, x\right)} - \sqrt{3}\right)}}{\sqrt{e^{\left(2 \, x\right)} - 1}} - 6 \, e^{x} + 6 i\right)} e^{\left(-x\right)}\right) + \frac{1}{2} \, \sqrt{3} \log\left({\left(6 \, \sqrt{3} e^{\left(2 \, x\right)} + 6 i \, \sqrt{3} e^{x} + \frac{\sqrt{3} {\left(6 \, e^{\left(3 \, x\right)} + 12 i \, e^{\left(2 \, x\right)} - 6 \, e^{x} - 12 i\right)}}{\sqrt{e^{\left(2 \, x\right)} - 1}} - 12 \, \sqrt{3}\right)} e^{\left(-2 \, x\right)}\right) - \frac{1}{2} \, \sqrt{3} \log\left(-{\left(6 \, \sqrt{3} e^{\left(2 \, x\right)} + 6 i \, \sqrt{3} e^{x} - \frac{\sqrt{3} {\left(6 \, e^{\left(3 \, x\right)} + 12 i \, e^{\left(2 \, x\right)} - 6 \, e^{x} - 12 i\right)}}{\sqrt{e^{\left(2 \, x\right)} - 1}} - 12 \, \sqrt{3}\right)} e^{\left(-2 \, x\right)}\right)"," ",0,"1/2*sqrt(3)*log((2*sqrt(3)*(sqrt(3)*e^(2*x) - sqrt(3))/sqrt(e^(2*x) - 1) + 6*e^x - 6*I)*e^(-x)) - 1/2*sqrt(3)*log(-(2*sqrt(3)*(sqrt(3)*e^(2*x) - sqrt(3))/sqrt(e^(2*x) - 1) - 6*e^x + 6*I)*e^(-x)) + 1/2*sqrt(3)*log((6*sqrt(3)*e^(2*x) + 6*I*sqrt(3)*e^x + sqrt(3)*(6*e^(3*x) + 12*I*e^(2*x) - 6*e^x - 12*I)/sqrt(e^(2*x) - 1) - 12*sqrt(3))*e^(-2*x)) - 1/2*sqrt(3)*log(-(6*sqrt(3)*e^(2*x) + 6*I*sqrt(3)*e^x - sqrt(3)*(6*e^(3*x) + 12*I*e^(2*x) - 6*e^x - 12*I)/sqrt(e^(2*x) - 1) - 12*sqrt(3))*e^(-2*x))","B",0
60,1,215,0,0.432389," ","integrate((-3+3*I*csch(x))^(1/2),x, algorithm=""fricas"")","\frac{1}{2} i \, \sqrt{3} \log\left({\left(\frac{\sqrt{3} {\left(2 i \, \sqrt{3} e^{\left(2 \, x\right)} - 2 i \, \sqrt{3}\right)}}{\sqrt{e^{\left(2 \, x\right)} - 1}} + 6 i \, e^{x} + 6\right)} e^{\left(-x\right)}\right) - \frac{1}{2} i \, \sqrt{3} \log\left({\left(\frac{\sqrt{3} {\left(-2 i \, \sqrt{3} e^{\left(2 \, x\right)} + 2 i \, \sqrt{3}\right)}}{\sqrt{e^{\left(2 \, x\right)} - 1}} + 6 i \, e^{x} + 6\right)} e^{\left(-x\right)}\right) + \frac{1}{2} i \, \sqrt{3} \log\left({\left(6 i \, \sqrt{3} e^{\left(2 \, x\right)} - 6 \, \sqrt{3} e^{x} + \frac{\sqrt{3} {\left(6 i \, e^{\left(3 \, x\right)} - 12 \, e^{\left(2 \, x\right)} - 6 i \, e^{x} + 12\right)}}{\sqrt{e^{\left(2 \, x\right)} - 1}} - 12 i \, \sqrt{3}\right)} e^{\left(-2 \, x\right)}\right) - \frac{1}{2} i \, \sqrt{3} \log\left({\left(-6 i \, \sqrt{3} e^{\left(2 \, x\right)} + 6 \, \sqrt{3} e^{x} + \frac{\sqrt{3} {\left(6 i \, e^{\left(3 \, x\right)} - 12 \, e^{\left(2 \, x\right)} - 6 i \, e^{x} + 12\right)}}{\sqrt{e^{\left(2 \, x\right)} - 1}} + 12 i \, \sqrt{3}\right)} e^{\left(-2 \, x\right)}\right)"," ",0,"1/2*I*sqrt(3)*log((sqrt(3)*(2*I*sqrt(3)*e^(2*x) - 2*I*sqrt(3))/sqrt(e^(2*x) - 1) + 6*I*e^x + 6)*e^(-x)) - 1/2*I*sqrt(3)*log((sqrt(3)*(-2*I*sqrt(3)*e^(2*x) + 2*I*sqrt(3))/sqrt(e^(2*x) - 1) + 6*I*e^x + 6)*e^(-x)) + 1/2*I*sqrt(3)*log((6*I*sqrt(3)*e^(2*x) - 6*sqrt(3)*e^x + sqrt(3)*(6*I*e^(3*x) - 12*e^(2*x) - 6*I*e^x + 12)/sqrt(e^(2*x) - 1) - 12*I*sqrt(3))*e^(-2*x)) - 1/2*I*sqrt(3)*log((-6*I*sqrt(3)*e^(2*x) + 6*sqrt(3)*e^x + sqrt(3)*(6*I*e^(3*x) - 12*e^(2*x) - 6*I*e^x + 12)/sqrt(e^(2*x) - 1) + 12*I*sqrt(3))*e^(-2*x))","B",0
61,1,215,0,0.436241," ","integrate((-3-3*I*csch(x))^(1/2),x, algorithm=""fricas"")","\frac{1}{2} i \, \sqrt{3} \log\left({\left(\frac{\sqrt{3} {\left(2 i \, \sqrt{3} e^{\left(2 \, x\right)} - 2 i \, \sqrt{3}\right)}}{\sqrt{e^{\left(2 \, x\right)} - 1}} + 6 i \, e^{x} - 6\right)} e^{\left(-x\right)}\right) - \frac{1}{2} i \, \sqrt{3} \log\left({\left(\frac{\sqrt{3} {\left(-2 i \, \sqrt{3} e^{\left(2 \, x\right)} + 2 i \, \sqrt{3}\right)}}{\sqrt{e^{\left(2 \, x\right)} - 1}} + 6 i \, e^{x} - 6\right)} e^{\left(-x\right)}\right) + \frac{1}{2} i \, \sqrt{3} \log\left({\left(6 i \, \sqrt{3} e^{\left(2 \, x\right)} + 6 \, \sqrt{3} e^{x} + \frac{\sqrt{3} {\left(6 i \, e^{\left(3 \, x\right)} + 12 \, e^{\left(2 \, x\right)} - 6 i \, e^{x} - 12\right)}}{\sqrt{e^{\left(2 \, x\right)} - 1}} - 12 i \, \sqrt{3}\right)} e^{\left(-2 \, x\right)}\right) - \frac{1}{2} i \, \sqrt{3} \log\left({\left(-6 i \, \sqrt{3} e^{\left(2 \, x\right)} - 6 \, \sqrt{3} e^{x} + \frac{\sqrt{3} {\left(6 i \, e^{\left(3 \, x\right)} + 12 \, e^{\left(2 \, x\right)} - 6 i \, e^{x} - 12\right)}}{\sqrt{e^{\left(2 \, x\right)} - 1}} + 12 i \, \sqrt{3}\right)} e^{\left(-2 \, x\right)}\right)"," ",0,"1/2*I*sqrt(3)*log((sqrt(3)*(2*I*sqrt(3)*e^(2*x) - 2*I*sqrt(3))/sqrt(e^(2*x) - 1) + 6*I*e^x - 6)*e^(-x)) - 1/2*I*sqrt(3)*log((sqrt(3)*(-2*I*sqrt(3)*e^(2*x) + 2*I*sqrt(3))/sqrt(e^(2*x) - 1) + 6*I*e^x - 6)*e^(-x)) + 1/2*I*sqrt(3)*log((6*I*sqrt(3)*e^(2*x) + 6*sqrt(3)*e^x + sqrt(3)*(6*I*e^(3*x) + 12*e^(2*x) - 6*I*e^x - 12)/sqrt(e^(2*x) - 1) - 12*I*sqrt(3))*e^(-2*x)) - 1/2*I*sqrt(3)*log((-6*I*sqrt(3)*e^(2*x) - 6*sqrt(3)*e^x + sqrt(3)*(6*I*e^(3*x) + 12*e^(2*x) - 6*I*e^x - 12)/sqrt(e^(2*x) - 1) + 12*I*sqrt(3))*e^(-2*x))","B",0
62,1,79,0,0.467839," ","integrate(sinh(x)^4/(I+csch(x)),x, algorithm=""fricas"")","\frac{{\left(-360 i \, x + 168 i\right)} e^{\left(5 \, x\right)} - 24 \, {\left(15 \, x + 23\right)} e^{\left(4 \, x\right)} - 3 i \, e^{\left(9 \, x\right)} + 5 \, e^{\left(8 \, x\right)} + 40 i \, e^{\left(7 \, x\right)} - 120 \, e^{\left(6 \, x\right)} + 120 i \, e^{\left(3 \, x\right)} - 40 \, e^{\left(2 \, x\right)} - 5 i \, e^{x} + 3}{192 \, e^{\left(5 \, x\right)} - 192 i \, e^{\left(4 \, x\right)}}"," ",0,"((-360*I*x + 168*I)*e^(5*x) - 24*(15*x + 23)*e^(4*x) - 3*I*e^(9*x) + 5*e^(8*x) + 40*I*e^(7*x) - 120*e^(6*x) + 120*I*e^(3*x) - 40*e^(2*x) - 5*I*e^x + 3)/(192*e^(5*x) - 192*I*e^(4*x))","A",0
63,1,67,0,0.441520," ","integrate(sinh(x)^3/(I+csch(x)),x, algorithm=""fricas"")","-\frac{3 \, {\left(12 \, x - 7\right)} e^{\left(4 \, x\right)} - {\left(36 i \, x + 69 i\right)} e^{\left(3 \, x\right)} + i \, e^{\left(7 \, x\right)} - 2 \, e^{\left(6 \, x\right)} - 18 i \, e^{\left(5 \, x\right)} - 18 \, e^{\left(2 \, x\right)} - 2 i \, e^{x} + 1}{24 \, {\left(e^{\left(4 \, x\right)} - i \, e^{\left(3 \, x\right)}\right)}}"," ",0,"-1/24*(3*(12*x - 7)*e^(4*x) - (36*I*x + 69*I)*e^(3*x) + I*e^(7*x) - 2*e^(6*x) - 18*I*e^(5*x) - 18*e^(2*x) - 2*I*e^x + 1)/(e^(4*x) - I*e^(3*x))","A",0
64,1,55,0,0.410571," ","integrate(sinh(x)^2/(I+csch(x)),x, algorithm=""fricas"")","\frac{{\left(12 i \, x - 4 i\right)} e^{\left(3 \, x\right)} + 4 \, {\left(3 \, x + 5\right)} e^{\left(2 \, x\right)} - i \, e^{\left(5 \, x\right)} + 3 \, e^{\left(4 \, x\right)} - 3 i \, e^{x} + 1}{8 \, e^{\left(3 \, x\right)} - 8 i \, e^{\left(2 \, x\right)}}"," ",0,"((12*I*x - 4*I)*e^(3*x) + 4*(3*x + 5)*e^(2*x) - I*e^(5*x) + 3*e^(4*x) - 3*I*e^x + 1)/(8*e^(3*x) - 8*I*e^(2*x))","B",0
65,1,40,0,0.408883," ","integrate(sinh(x)/(I+csch(x)),x, algorithm=""fricas"")","\frac{{\left(2 \, x - 1\right)} e^{\left(2 \, x\right)} + {\left(-2 i \, x - 5 i\right)} e^{x} - i \, e^{\left(3 \, x\right)} - 1}{2 \, e^{\left(2 \, x\right)} - 2 i \, e^{x}}"," ",0,"((2*x - 1)*e^(2*x) + (-2*I*x - 5*I)*e^x - I*e^(3*x) - 1)/(2*e^(2*x) - 2*I*e^x)","B",0
66,1,8,0,0.394065," ","integrate(csch(x)/(I+csch(x)),x, algorithm=""fricas"")","\frac{2 i}{e^{x} - i}"," ",0,"2*I/(e^x - I)","A",0
67,1,31,0,0.473143," ","integrate(csch(x)^2/(I+csch(x)),x, algorithm=""fricas"")","-\frac{{\left(e^{x} - i\right)} \log\left(e^{x} + 1\right) - {\left(e^{x} - i\right)} \log\left(e^{x} - 1\right) - 2}{e^{x} - i}"," ",0,"-((e^x - I)*log(e^x + 1) - (e^x - I)*log(e^x - 1) - 2)/(e^x - I)","B",0
68,1,77,0,0.420451," ","integrate(csch(x)^3/(I+csch(x)),x, algorithm=""fricas"")","\frac{{\left(i \, e^{\left(3 \, x\right)} + e^{\left(2 \, x\right)} - i \, e^{x} - 1\right)} \log\left(e^{x} + 1\right) + {\left(-i \, e^{\left(3 \, x\right)} - e^{\left(2 \, x\right)} + i \, e^{x} + 1\right)} \log\left(e^{x} - 1\right) - 2 i \, e^{\left(2 \, x\right)} - 2 \, e^{x} + 4 i}{e^{\left(3 \, x\right)} - i \, e^{\left(2 \, x\right)} - e^{x} + i}"," ",0,"((I*e^(3*x) + e^(2*x) - I*e^x - 1)*log(e^x + 1) + (-I*e^(3*x) - e^(2*x) + I*e^x + 1)*log(e^x - 1) - 2*I*e^(2*x) - 2*e^x + 4*I)/(e^(3*x) - I*e^(2*x) - e^x + I)","B",0
69,1,130,0,0.417171," ","integrate(csch(x)^4/(I+csch(x)),x, algorithm=""fricas"")","\frac{{\left(3 \, e^{\left(5 \, x\right)} - 3 i \, e^{\left(4 \, x\right)} - 6 \, e^{\left(3 \, x\right)} + 6 i \, e^{\left(2 \, x\right)} + 3 \, e^{x} - 3 i\right)} \log\left(e^{x} + 1\right) - {\left(3 \, e^{\left(5 \, x\right)} - 3 i \, e^{\left(4 \, x\right)} - 6 \, e^{\left(3 \, x\right)} + 6 i \, e^{\left(2 \, x\right)} + 3 \, e^{x} - 3 i\right)} \log\left(e^{x} - 1\right) - 6 \, e^{\left(4 \, x\right)} + 6 i \, e^{\left(3 \, x\right)} + 10 \, e^{\left(2 \, x\right)} - 2 i \, e^{x} - 8}{2 \, e^{\left(5 \, x\right)} - 2 i \, e^{\left(4 \, x\right)} - 4 \, e^{\left(3 \, x\right)} + 4 i \, e^{\left(2 \, x\right)} + 2 \, e^{x} - 2 i}"," ",0,"((3*e^(5*x) - 3*I*e^(4*x) - 6*e^(3*x) + 6*I*e^(2*x) + 3*e^x - 3*I)*log(e^x + 1) - (3*e^(5*x) - 3*I*e^(4*x) - 6*e^(3*x) + 6*I*e^(2*x) + 3*e^x - 3*I)*log(e^x - 1) - 6*e^(4*x) + 6*I*e^(3*x) + 10*e^(2*x) - 2*I*e^x - 8)/(2*e^(5*x) - 2*I*e^(4*x) - 4*e^(3*x) + 4*I*e^(2*x) + 2*e^x - 2*I)","B",0
70,1,1440,0,0.436404," ","integrate((a+b*csch(d*x+c))^4,x, algorithm=""fricas"")","\frac{3 \, a^{4} d x \cosh\left(d x + c\right)^{6} + 3 \, a^{4} d x \sinh\left(d x + c\right)^{6} - 12 \, a b^{3} \cosh\left(d x + c\right)^{5} - 3 \, a^{4} d x + 6 \, {\left(3 \, a^{4} d x \cosh\left(d x + c\right) - 2 \, a b^{3}\right)} \sinh\left(d x + c\right)^{5} + 12 \, a b^{3} \cosh\left(d x + c\right) - 9 \, {\left(a^{4} d x + 4 \, a^{2} b^{2}\right)} \cosh\left(d x + c\right)^{4} + 3 \, {\left(15 \, a^{4} d x \cosh\left(d x + c\right)^{2} - 3 \, a^{4} d x - 20 \, a b^{3} \cosh\left(d x + c\right) - 12 \, a^{2} b^{2}\right)} \sinh\left(d x + c\right)^{4} - 36 \, a^{2} b^{2} + 4 \, b^{4} + 12 \, {\left(5 \, a^{4} d x \cosh\left(d x + c\right)^{3} - 10 \, a b^{3} \cosh\left(d x + c\right)^{2} - 3 \, {\left(a^{4} d x + 4 \, a^{2} b^{2}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(3 \, a^{4} d x + 24 \, a^{2} b^{2} - 4 \, b^{4}\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left(15 \, a^{4} d x \cosh\left(d x + c\right)^{4} - 40 \, a b^{3} \cosh\left(d x + c\right)^{3} + 3 \, a^{4} d x + 24 \, a^{2} b^{2} - 4 \, b^{4} - 18 \, {\left(a^{4} d x + 4 \, a^{2} b^{2}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{2} - 6 \, {\left({\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{6} + 6 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + {\left(2 \, a^{3} b - a b^{3}\right)} \sinh\left(d x + c\right)^{6} - 3 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{4} - 3 \, {\left(2 \, a^{3} b - a b^{3} - 5 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{4} - 2 \, a^{3} b + a b^{3} + 4 \, {\left(5 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{3} - 3 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left(5 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{4} + 2 \, a^{3} b - a b^{3} - 6 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{2} + 6 \, {\left({\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{5} - 2 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{3} + {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \log\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right) + 1\right) + 6 \, {\left({\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{6} + 6 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + {\left(2 \, a^{3} b - a b^{3}\right)} \sinh\left(d x + c\right)^{6} - 3 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{4} - 3 \, {\left(2 \, a^{3} b - a b^{3} - 5 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{4} - 2 \, a^{3} b + a b^{3} + 4 \, {\left(5 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{3} - 3 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{2} + 3 \, {\left(5 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{4} + 2 \, a^{3} b - a b^{3} - 6 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{2} + 6 \, {\left({\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{5} - 2 \, {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)^{3} + {\left(2 \, a^{3} b - a b^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \log\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right) - 1\right) + 6 \, {\left(3 \, a^{4} d x \cosh\left(d x + c\right)^{5} - 10 \, a b^{3} \cosh\left(d x + c\right)^{4} + 2 \, a b^{3} - 6 \, {\left(a^{4} d x + 4 \, a^{2} b^{2}\right)} \cosh\left(d x + c\right)^{3} + {\left(3 \, a^{4} d x + 24 \, a^{2} b^{2} - 4 \, b^{4}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{3 \, {\left(d \cosh\left(d x + c\right)^{6} + 6 \, d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{5} + d \sinh\left(d x + c\right)^{6} - 3 \, d \cosh\left(d x + c\right)^{4} + 3 \, {\left(5 \, d \cosh\left(d x + c\right)^{2} - d\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(5 \, d \cosh\left(d x + c\right)^{3} - 3 \, d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} + 3 \, d \cosh\left(d x + c\right)^{2} + 3 \, {\left(5 \, d \cosh\left(d x + c\right)^{4} - 6 \, d \cosh\left(d x + c\right)^{2} + d\right)} \sinh\left(d x + c\right)^{2} + 6 \, {\left(d \cosh\left(d x + c\right)^{5} - 2 \, d \cosh\left(d x + c\right)^{3} + d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) - d\right)}}"," ",0,"1/3*(3*a^4*d*x*cosh(d*x + c)^6 + 3*a^4*d*x*sinh(d*x + c)^6 - 12*a*b^3*cosh(d*x + c)^5 - 3*a^4*d*x + 6*(3*a^4*d*x*cosh(d*x + c) - 2*a*b^3)*sinh(d*x + c)^5 + 12*a*b^3*cosh(d*x + c) - 9*(a^4*d*x + 4*a^2*b^2)*cosh(d*x + c)^4 + 3*(15*a^4*d*x*cosh(d*x + c)^2 - 3*a^4*d*x - 20*a*b^3*cosh(d*x + c) - 12*a^2*b^2)*sinh(d*x + c)^4 - 36*a^2*b^2 + 4*b^4 + 12*(5*a^4*d*x*cosh(d*x + c)^3 - 10*a*b^3*cosh(d*x + c)^2 - 3*(a^4*d*x + 4*a^2*b^2)*cosh(d*x + c))*sinh(d*x + c)^3 + 3*(3*a^4*d*x + 24*a^2*b^2 - 4*b^4)*cosh(d*x + c)^2 + 3*(15*a^4*d*x*cosh(d*x + c)^4 - 40*a*b^3*cosh(d*x + c)^3 + 3*a^4*d*x + 24*a^2*b^2 - 4*b^4 - 18*(a^4*d*x + 4*a^2*b^2)*cosh(d*x + c)^2)*sinh(d*x + c)^2 - 6*((2*a^3*b - a*b^3)*cosh(d*x + c)^6 + 6*(2*a^3*b - a*b^3)*cosh(d*x + c)*sinh(d*x + c)^5 + (2*a^3*b - a*b^3)*sinh(d*x + c)^6 - 3*(2*a^3*b - a*b^3)*cosh(d*x + c)^4 - 3*(2*a^3*b - a*b^3 - 5*(2*a^3*b - a*b^3)*cosh(d*x + c)^2)*sinh(d*x + c)^4 - 2*a^3*b + a*b^3 + 4*(5*(2*a^3*b - a*b^3)*cosh(d*x + c)^3 - 3*(2*a^3*b - a*b^3)*cosh(d*x + c))*sinh(d*x + c)^3 + 3*(2*a^3*b - a*b^3)*cosh(d*x + c)^2 + 3*(5*(2*a^3*b - a*b^3)*cosh(d*x + c)^4 + 2*a^3*b - a*b^3 - 6*(2*a^3*b - a*b^3)*cosh(d*x + c)^2)*sinh(d*x + c)^2 + 6*((2*a^3*b - a*b^3)*cosh(d*x + c)^5 - 2*(2*a^3*b - a*b^3)*cosh(d*x + c)^3 + (2*a^3*b - a*b^3)*cosh(d*x + c))*sinh(d*x + c))*log(cosh(d*x + c) + sinh(d*x + c) + 1) + 6*((2*a^3*b - a*b^3)*cosh(d*x + c)^6 + 6*(2*a^3*b - a*b^3)*cosh(d*x + c)*sinh(d*x + c)^5 + (2*a^3*b - a*b^3)*sinh(d*x + c)^6 - 3*(2*a^3*b - a*b^3)*cosh(d*x + c)^4 - 3*(2*a^3*b - a*b^3 - 5*(2*a^3*b - a*b^3)*cosh(d*x + c)^2)*sinh(d*x + c)^4 - 2*a^3*b + a*b^3 + 4*(5*(2*a^3*b - a*b^3)*cosh(d*x + c)^3 - 3*(2*a^3*b - a*b^3)*cosh(d*x + c))*sinh(d*x + c)^3 + 3*(2*a^3*b - a*b^3)*cosh(d*x + c)^2 + 3*(5*(2*a^3*b - a*b^3)*cosh(d*x + c)^4 + 2*a^3*b - a*b^3 - 6*(2*a^3*b - a*b^3)*cosh(d*x + c)^2)*sinh(d*x + c)^2 + 6*((2*a^3*b - a*b^3)*cosh(d*x + c)^5 - 2*(2*a^3*b - a*b^3)*cosh(d*x + c)^3 + (2*a^3*b - a*b^3)*cosh(d*x + c))*sinh(d*x + c))*log(cosh(d*x + c) + sinh(d*x + c) - 1) + 6*(3*a^4*d*x*cosh(d*x + c)^5 - 10*a*b^3*cosh(d*x + c)^4 + 2*a*b^3 - 6*(a^4*d*x + 4*a^2*b^2)*cosh(d*x + c)^3 + (3*a^4*d*x + 24*a^2*b^2 - 4*b^4)*cosh(d*x + c))*sinh(d*x + c))/(d*cosh(d*x + c)^6 + 6*d*cosh(d*x + c)*sinh(d*x + c)^5 + d*sinh(d*x + c)^6 - 3*d*cosh(d*x + c)^4 + 3*(5*d*cosh(d*x + c)^2 - d)*sinh(d*x + c)^4 + 4*(5*d*cosh(d*x + c)^3 - 3*d*cosh(d*x + c))*sinh(d*x + c)^3 + 3*d*cosh(d*x + c)^2 + 3*(5*d*cosh(d*x + c)^4 - 6*d*cosh(d*x + c)^2 + d)*sinh(d*x + c)^2 + 6*(d*cosh(d*x + c)^5 - 2*d*cosh(d*x + c)^3 + d*cosh(d*x + c))*sinh(d*x + c) - d)","B",0
71,1,769,0,0.422320," ","integrate((a+b*csch(d*x+c))^3,x, algorithm=""fricas"")","\frac{2 \, a^{3} d x \cosh\left(d x + c\right)^{4} + 2 \, a^{3} d x \sinh\left(d x + c\right)^{4} - 2 \, b^{3} \cosh\left(d x + c\right)^{3} + 2 \, a^{3} d x - 2 \, b^{3} \cosh\left(d x + c\right) + 2 \, {\left(4 \, a^{3} d x \cosh\left(d x + c\right) - b^{3}\right)} \sinh\left(d x + c\right)^{3} + 12 \, a b^{2} - 4 \, {\left(a^{3} d x + 3 \, a b^{2}\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(6 \, a^{3} d x \cosh\left(d x + c\right)^{2} - 2 \, a^{3} d x - 3 \, b^{3} \cosh\left(d x + c\right) - 6 \, a b^{2}\right)} \sinh\left(d x + c\right)^{2} - {\left({\left(6 \, a^{2} b - b^{3}\right)} \cosh\left(d x + c\right)^{4} + 4 \, {\left(6 \, a^{2} b - b^{3}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + {\left(6 \, a^{2} b - b^{3}\right)} \sinh\left(d x + c\right)^{4} + 6 \, a^{2} b - b^{3} - 2 \, {\left(6 \, a^{2} b - b^{3}\right)} \cosh\left(d x + c\right)^{2} - 2 \, {\left(6 \, a^{2} b - b^{3} - 3 \, {\left(6 \, a^{2} b - b^{3}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left({\left(6 \, a^{2} b - b^{3}\right)} \cosh\left(d x + c\right)^{3} - {\left(6 \, a^{2} b - b^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \log\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right) + 1\right) + {\left({\left(6 \, a^{2} b - b^{3}\right)} \cosh\left(d x + c\right)^{4} + 4 \, {\left(6 \, a^{2} b - b^{3}\right)} \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + {\left(6 \, a^{2} b - b^{3}\right)} \sinh\left(d x + c\right)^{4} + 6 \, a^{2} b - b^{3} - 2 \, {\left(6 \, a^{2} b - b^{3}\right)} \cosh\left(d x + c\right)^{2} - 2 \, {\left(6 \, a^{2} b - b^{3} - 3 \, {\left(6 \, a^{2} b - b^{3}\right)} \cosh\left(d x + c\right)^{2}\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left({\left(6 \, a^{2} b - b^{3}\right)} \cosh\left(d x + c\right)^{3} - {\left(6 \, a^{2} b - b^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \log\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right) - 1\right) + 2 \, {\left(4 \, a^{3} d x \cosh\left(d x + c\right)^{3} - 3 \, b^{3} \cosh\left(d x + c\right)^{2} - b^{3} - 4 \, {\left(a^{3} d x + 3 \, a b^{2}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{2 \, {\left(d \cosh\left(d x + c\right)^{4} + 4 \, d \cosh\left(d x + c\right) \sinh\left(d x + c\right)^{3} + d \sinh\left(d x + c\right)^{4} - 2 \, d \cosh\left(d x + c\right)^{2} + 2 \, {\left(3 \, d \cosh\left(d x + c\right)^{2} - d\right)} \sinh\left(d x + c\right)^{2} + 4 \, {\left(d \cosh\left(d x + c\right)^{3} - d \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right) + d\right)}}"," ",0,"1/2*(2*a^3*d*x*cosh(d*x + c)^4 + 2*a^3*d*x*sinh(d*x + c)^4 - 2*b^3*cosh(d*x + c)^3 + 2*a^3*d*x - 2*b^3*cosh(d*x + c) + 2*(4*a^3*d*x*cosh(d*x + c) - b^3)*sinh(d*x + c)^3 + 12*a*b^2 - 4*(a^3*d*x + 3*a*b^2)*cosh(d*x + c)^2 + 2*(6*a^3*d*x*cosh(d*x + c)^2 - 2*a^3*d*x - 3*b^3*cosh(d*x + c) - 6*a*b^2)*sinh(d*x + c)^2 - ((6*a^2*b - b^3)*cosh(d*x + c)^4 + 4*(6*a^2*b - b^3)*cosh(d*x + c)*sinh(d*x + c)^3 + (6*a^2*b - b^3)*sinh(d*x + c)^4 + 6*a^2*b - b^3 - 2*(6*a^2*b - b^3)*cosh(d*x + c)^2 - 2*(6*a^2*b - b^3 - 3*(6*a^2*b - b^3)*cosh(d*x + c)^2)*sinh(d*x + c)^2 + 4*((6*a^2*b - b^3)*cosh(d*x + c)^3 - (6*a^2*b - b^3)*cosh(d*x + c))*sinh(d*x + c))*log(cosh(d*x + c) + sinh(d*x + c) + 1) + ((6*a^2*b - b^3)*cosh(d*x + c)^4 + 4*(6*a^2*b - b^3)*cosh(d*x + c)*sinh(d*x + c)^3 + (6*a^2*b - b^3)*sinh(d*x + c)^4 + 6*a^2*b - b^3 - 2*(6*a^2*b - b^3)*cosh(d*x + c)^2 - 2*(6*a^2*b - b^3 - 3*(6*a^2*b - b^3)*cosh(d*x + c)^2)*sinh(d*x + c)^2 + 4*((6*a^2*b - b^3)*cosh(d*x + c)^3 - (6*a^2*b - b^3)*cosh(d*x + c))*sinh(d*x + c))*log(cosh(d*x + c) + sinh(d*x + c) - 1) + 2*(4*a^3*d*x*cosh(d*x + c)^3 - 3*b^3*cosh(d*x + c)^2 - b^3 - 4*(a^3*d*x + 3*a*b^2)*cosh(d*x + c))*sinh(d*x + c))/(d*cosh(d*x + c)^4 + 4*d*cosh(d*x + c)*sinh(d*x + c)^3 + d*sinh(d*x + c)^4 - 2*d*cosh(d*x + c)^2 + 2*(3*d*cosh(d*x + c)^2 - d)*sinh(d*x + c)^2 + 4*(d*cosh(d*x + c)^3 - d*cosh(d*x + c))*sinh(d*x + c) + d)","B",0
72,1,222,0,0.418197," ","integrate((a+b*csch(d*x+c))^2,x, algorithm=""fricas"")","\frac{a^{2} d x \cosh\left(d x + c\right)^{2} + 2 \, a^{2} d x \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a^{2} d x \sinh\left(d x + c\right)^{2} - a^{2} d x - 2 \, b^{2} - 2 \, {\left(a b \cosh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a b \sinh\left(d x + c\right)^{2} - a b\right)} \log\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right) + 1\right) + 2 \, {\left(a b \cosh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) \sinh\left(d x + c\right) + a b \sinh\left(d x + c\right)^{2} - a b\right)} \log\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right) - 1\right)}{d \cosh\left(d x + c\right)^{2} + 2 \, d \cosh\left(d x + c\right) \sinh\left(d x + c\right) + d \sinh\left(d x + c\right)^{2} - d}"," ",0,"(a^2*d*x*cosh(d*x + c)^2 + 2*a^2*d*x*cosh(d*x + c)*sinh(d*x + c) + a^2*d*x*sinh(d*x + c)^2 - a^2*d*x - 2*b^2 - 2*(a*b*cosh(d*x + c)^2 + 2*a*b*cosh(d*x + c)*sinh(d*x + c) + a*b*sinh(d*x + c)^2 - a*b)*log(cosh(d*x + c) + sinh(d*x + c) + 1) + 2*(a*b*cosh(d*x + c)^2 + 2*a*b*cosh(d*x + c)*sinh(d*x + c) + a*b*sinh(d*x + c)^2 - a*b)*log(cosh(d*x + c) + sinh(d*x + c) - 1))/(d*cosh(d*x + c)^2 + 2*d*cosh(d*x + c)*sinh(d*x + c) + d*sinh(d*x + c)^2 - d)","B",0
73,1,44,0,0.406235," ","integrate(a+b*csch(d*x+c),x, algorithm=""fricas"")","\frac{a d x - b \log\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right) + 1\right) + b \log\left(\cosh\left(d x + c\right) + \sinh\left(d x + c\right) - 1\right)}{d}"," ",0,"(a*d*x - b*log(cosh(d*x + c) + sinh(d*x + c) + 1) + b*log(cosh(d*x + c) + sinh(d*x + c) - 1))/d","B",0
74,1,186,0,0.414917," ","integrate(1/(a+b*csch(d*x+c)),x, algorithm=""fricas"")","\frac{{\left(a^{2} + b^{2}\right)} d x + \sqrt{a^{2} + b^{2}} b \log\left(\frac{a^{2} \cosh\left(d x + c\right)^{2} + a^{2} \sinh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(d x + c\right) + a b\right)} \sinh\left(d x + c\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + b\right)}}{a \cosh\left(d x + c\right)^{2} + a \sinh\left(d x + c\right)^{2} + 2 \, b \cosh\left(d x + c\right) + 2 \, {\left(a \cosh\left(d x + c\right) + b\right)} \sinh\left(d x + c\right) - a}\right)}{{\left(a^{3} + a b^{2}\right)} d}"," ",0,"((a^2 + b^2)*d*x + sqrt(a^2 + b^2)*b*log((a^2*cosh(d*x + c)^2 + a^2*sinh(d*x + c)^2 + 2*a*b*cosh(d*x + c) + a^2 + 2*b^2 + 2*(a^2*cosh(d*x + c) + a*b)*sinh(d*x + c) + 2*sqrt(a^2 + b^2)*(a*cosh(d*x + c) + a*sinh(d*x + c) + b))/(a*cosh(d*x + c)^2 + a*sinh(d*x + c)^2 + 2*b*cosh(d*x + c) + 2*(a*cosh(d*x + c) + b)*sinh(d*x + c) - a)))/((a^3 + a*b^2)*d)","B",0
75,1,645,0,0.421673," ","integrate(1/(a+b*csch(d*x+c))^2,x, algorithm=""fricas"")","-\frac{2 \, a^{3} b^{2} + 2 \, a b^{4} - {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} d x \cosh\left(d x + c\right)^{2} - {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} d x \sinh\left(d x + c\right)^{2} + {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} d x + {\left(2 \, a^{3} b + a b^{3} - {\left(2 \, a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)^{2} - {\left(2 \, a^{3} b + a b^{3}\right)} \sinh\left(d x + c\right)^{2} - 2 \, {\left(2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(d x + c\right) - 2 \, {\left(2 \, a^{2} b^{2} + b^{4} + {\left(2 \, a^{3} b + a b^{3}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(d x + c\right)^{2} + a^{2} \sinh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(d x + c\right) + a b\right)} \sinh\left(d x + c\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + b\right)}}{a \cosh\left(d x + c\right)^{2} + a \sinh\left(d x + c\right)^{2} + 2 \, b \cosh\left(d x + c\right) + 2 \, {\left(a \cosh\left(d x + c\right) + b\right)} \sinh\left(d x + c\right) - a}\right) - 2 \, {\left(a^{2} b^{3} + b^{5} + {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} d x\right)} \cosh\left(d x + c\right) - 2 \, {\left(a^{2} b^{3} + b^{5} + {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} d x \cosh\left(d x + c\right) + {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} d x\right)} \sinh\left(d x + c\right)}{{\left(a^{7} + 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} d \cosh\left(d x + c\right)^{2} + {\left(a^{7} + 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} d \sinh\left(d x + c\right)^{2} + 2 \, {\left(a^{6} b + 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} d \cosh\left(d x + c\right) - {\left(a^{7} + 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} d + 2 \, {\left({\left(a^{7} + 2 \, a^{5} b^{2} + a^{3} b^{4}\right)} d \cosh\left(d x + c\right) + {\left(a^{6} b + 2 \, a^{4} b^{3} + a^{2} b^{5}\right)} d\right)} \sinh\left(d x + c\right)}"," ",0,"-(2*a^3*b^2 + 2*a*b^4 - (a^5 + 2*a^3*b^2 + a*b^4)*d*x*cosh(d*x + c)^2 - (a^5 + 2*a^3*b^2 + a*b^4)*d*x*sinh(d*x + c)^2 + (a^5 + 2*a^3*b^2 + a*b^4)*d*x + (2*a^3*b + a*b^3 - (2*a^3*b + a*b^3)*cosh(d*x + c)^2 - (2*a^3*b + a*b^3)*sinh(d*x + c)^2 - 2*(2*a^2*b^2 + b^4)*cosh(d*x + c) - 2*(2*a^2*b^2 + b^4 + (2*a^3*b + a*b^3)*cosh(d*x + c))*sinh(d*x + c))*sqrt(a^2 + b^2)*log((a^2*cosh(d*x + c)^2 + a^2*sinh(d*x + c)^2 + 2*a*b*cosh(d*x + c) + a^2 + 2*b^2 + 2*(a^2*cosh(d*x + c) + a*b)*sinh(d*x + c) + 2*sqrt(a^2 + b^2)*(a*cosh(d*x + c) + a*sinh(d*x + c) + b))/(a*cosh(d*x + c)^2 + a*sinh(d*x + c)^2 + 2*b*cosh(d*x + c) + 2*(a*cosh(d*x + c) + b)*sinh(d*x + c) - a)) - 2*(a^2*b^3 + b^5 + (a^4*b + 2*a^2*b^3 + b^5)*d*x)*cosh(d*x + c) - 2*(a^2*b^3 + b^5 + (a^5 + 2*a^3*b^2 + a*b^4)*d*x*cosh(d*x + c) + (a^4*b + 2*a^2*b^3 + b^5)*d*x)*sinh(d*x + c))/((a^7 + 2*a^5*b^2 + a^3*b^4)*d*cosh(d*x + c)^2 + (a^7 + 2*a^5*b^2 + a^3*b^4)*d*sinh(d*x + c)^2 + 2*(a^6*b + 2*a^4*b^3 + a^2*b^5)*d*cosh(d*x + c) - (a^7 + 2*a^5*b^2 + a^3*b^4)*d + 2*((a^7 + 2*a^5*b^2 + a^3*b^4)*d*cosh(d*x + c) + (a^6*b + 2*a^4*b^3 + a^2*b^5)*d)*sinh(d*x + c))","B",0
76,1,2094,0,0.459065," ","integrate(1/(a+b*csch(d*x+c))^3,x, algorithm=""fricas"")","\frac{12 \, a^{6} b^{2} + 18 \, a^{4} b^{4} + 6 \, a^{2} b^{6} + 2 \, {\left(a^{8} + 3 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6}\right)} d x \cosh\left(d x + c\right)^{4} + 2 \, {\left(a^{8} + 3 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6}\right)} d x \sinh\left(d x + c\right)^{4} + 2 \, {\left(7 \, a^{5} b^{3} + 11 \, a^{3} b^{5} + 4 \, a b^{7} + 4 \, {\left(a^{7} b + 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} + a b^{7}\right)} d x\right)} \cosh\left(d x + c\right)^{3} + 2 \, {\left(7 \, a^{5} b^{3} + 11 \, a^{3} b^{5} + 4 \, a b^{7} + 4 \, {\left(a^{8} + 3 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6}\right)} d x \cosh\left(d x + c\right) + 4 \, {\left(a^{7} b + 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} + a b^{7}\right)} d x\right)} \sinh\left(d x + c\right)^{3} + 2 \, {\left(a^{8} + 3 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6}\right)} d x - 2 \, {\left(6 \, a^{6} b^{2} - 3 \, a^{4} b^{4} - 15 \, a^{2} b^{6} - 6 \, b^{8} + 2 \, {\left(a^{8} + a^{6} b^{2} - 3 \, a^{4} b^{4} - 5 \, a^{2} b^{6} - 2 \, b^{8}\right)} d x\right)} \cosh\left(d x + c\right)^{2} - 2 \, {\left(6 \, a^{6} b^{2} - 3 \, a^{4} b^{4} - 15 \, a^{2} b^{6} - 6 \, b^{8} - 6 \, {\left(a^{8} + 3 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6}\right)} d x \cosh\left(d x + c\right)^{2} + 2 \, {\left(a^{8} + a^{6} b^{2} - 3 \, a^{4} b^{4} - 5 \, a^{2} b^{6} - 2 \, b^{8}\right)} d x - 3 \, {\left(7 \, a^{5} b^{3} + 11 \, a^{3} b^{5} + 4 \, a b^{7} + 4 \, {\left(a^{7} b + 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} + a b^{7}\right)} d x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} + {\left(6 \, a^{6} b + 5 \, a^{4} b^{3} + 2 \, a^{2} b^{5} + {\left(6 \, a^{6} b + 5 \, a^{4} b^{3} + 2 \, a^{2} b^{5}\right)} \cosh\left(d x + c\right)^{4} + {\left(6 \, a^{6} b + 5 \, a^{4} b^{3} + 2 \, a^{2} b^{5}\right)} \sinh\left(d x + c\right)^{4} + 4 \, {\left(6 \, a^{5} b^{2} + 5 \, a^{3} b^{4} + 2 \, a b^{6}\right)} \cosh\left(d x + c\right)^{3} + 4 \, {\left(6 \, a^{5} b^{2} + 5 \, a^{3} b^{4} + 2 \, a b^{6} + {\left(6 \, a^{6} b + 5 \, a^{4} b^{3} + 2 \, a^{2} b^{5}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{3} - 2 \, {\left(6 \, a^{6} b - 7 \, a^{4} b^{3} - 8 \, a^{2} b^{5} - 4 \, b^{7}\right)} \cosh\left(d x + c\right)^{2} - 2 \, {\left(6 \, a^{6} b - 7 \, a^{4} b^{3} - 8 \, a^{2} b^{5} - 4 \, b^{7} - 3 \, {\left(6 \, a^{6} b + 5 \, a^{4} b^{3} + 2 \, a^{2} b^{5}\right)} \cosh\left(d x + c\right)^{2} - 6 \, {\left(6 \, a^{5} b^{2} + 5 \, a^{3} b^{4} + 2 \, a b^{6}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)^{2} - 4 \, {\left(6 \, a^{5} b^{2} + 5 \, a^{3} b^{4} + 2 \, a b^{6}\right)} \cosh\left(d x + c\right) - 4 \, {\left(6 \, a^{5} b^{2} + 5 \, a^{3} b^{4} + 2 \, a b^{6} - {\left(6 \, a^{6} b + 5 \, a^{4} b^{3} + 2 \, a^{2} b^{5}\right)} \cosh\left(d x + c\right)^{3} - 3 \, {\left(6 \, a^{5} b^{2} + 5 \, a^{3} b^{4} + 2 \, a b^{6}\right)} \cosh\left(d x + c\right)^{2} + {\left(6 \, a^{6} b - 7 \, a^{4} b^{3} - 8 \, a^{2} b^{5} - 4 \, b^{7}\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(d x + c\right)^{2} + a^{2} \sinh\left(d x + c\right)^{2} + 2 \, a b \cosh\left(d x + c\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(d x + c\right) + a b\right)} \sinh\left(d x + c\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(d x + c\right) + a \sinh\left(d x + c\right) + b\right)}}{a \cosh\left(d x + c\right)^{2} + a \sinh\left(d x + c\right)^{2} + 2 \, b \cosh\left(d x + c\right) + 2 \, {\left(a \cosh\left(d x + c\right) + b\right)} \sinh\left(d x + c\right) - a}\right) - 2 \, {\left(17 \, a^{5} b^{3} + 25 \, a^{3} b^{5} + 8 \, a b^{7} + 4 \, {\left(a^{7} b + 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} + a b^{7}\right)} d x\right)} \cosh\left(d x + c\right) - 2 \, {\left(17 \, a^{5} b^{3} + 25 \, a^{3} b^{5} + 8 \, a b^{7} - 4 \, {\left(a^{8} + 3 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6}\right)} d x \cosh\left(d x + c\right)^{3} + 4 \, {\left(a^{7} b + 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} + a b^{7}\right)} d x - 3 \, {\left(7 \, a^{5} b^{3} + 11 \, a^{3} b^{5} + 4 \, a b^{7} + 4 \, {\left(a^{7} b + 3 \, a^{5} b^{3} + 3 \, a^{3} b^{5} + a b^{7}\right)} d x\right)} \cosh\left(d x + c\right)^{2} + 2 \, {\left(6 \, a^{6} b^{2} - 3 \, a^{4} b^{4} - 15 \, a^{2} b^{6} - 6 \, b^{8} + 2 \, {\left(a^{8} + a^{6} b^{2} - 3 \, a^{4} b^{4} - 5 \, a^{2} b^{6} - 2 \, b^{8}\right)} d x\right)} \cosh\left(d x + c\right)\right)} \sinh\left(d x + c\right)}{2 \, {\left({\left(a^{11} + 3 \, a^{9} b^{2} + 3 \, a^{7} b^{4} + a^{5} b^{6}\right)} d \cosh\left(d x + c\right)^{4} + {\left(a^{11} + 3 \, a^{9} b^{2} + 3 \, a^{7} b^{4} + a^{5} b^{6}\right)} d \sinh\left(d x + c\right)^{4} + 4 \, {\left(a^{10} b + 3 \, a^{8} b^{3} + 3 \, a^{6} b^{5} + a^{4} b^{7}\right)} d \cosh\left(d x + c\right)^{3} - 2 \, {\left(a^{11} + a^{9} b^{2} - 3 \, a^{7} b^{4} - 5 \, a^{5} b^{6} - 2 \, a^{3} b^{8}\right)} d \cosh\left(d x + c\right)^{2} + 4 \, {\left({\left(a^{11} + 3 \, a^{9} b^{2} + 3 \, a^{7} b^{4} + a^{5} b^{6}\right)} d \cosh\left(d x + c\right) + {\left(a^{10} b + 3 \, a^{8} b^{3} + 3 \, a^{6} b^{5} + a^{4} b^{7}\right)} d\right)} \sinh\left(d x + c\right)^{3} - 4 \, {\left(a^{10} b + 3 \, a^{8} b^{3} + 3 \, a^{6} b^{5} + a^{4} b^{7}\right)} d \cosh\left(d x + c\right) + 2 \, {\left(3 \, {\left(a^{11} + 3 \, a^{9} b^{2} + 3 \, a^{7} b^{4} + a^{5} b^{6}\right)} d \cosh\left(d x + c\right)^{2} + 6 \, {\left(a^{10} b + 3 \, a^{8} b^{3} + 3 \, a^{6} b^{5} + a^{4} b^{7}\right)} d \cosh\left(d x + c\right) - {\left(a^{11} + a^{9} b^{2} - 3 \, a^{7} b^{4} - 5 \, a^{5} b^{6} - 2 \, a^{3} b^{8}\right)} d\right)} \sinh\left(d x + c\right)^{2} + {\left(a^{11} + 3 \, a^{9} b^{2} + 3 \, a^{7} b^{4} + a^{5} b^{6}\right)} d + 4 \, {\left({\left(a^{11} + 3 \, a^{9} b^{2} + 3 \, a^{7} b^{4} + a^{5} b^{6}\right)} d \cosh\left(d x + c\right)^{3} + 3 \, {\left(a^{10} b + 3 \, a^{8} b^{3} + 3 \, a^{6} b^{5} + a^{4} b^{7}\right)} d \cosh\left(d x + c\right)^{2} - {\left(a^{11} + a^{9} b^{2} - 3 \, a^{7} b^{4} - 5 \, a^{5} b^{6} - 2 \, a^{3} b^{8}\right)} d \cosh\left(d x + c\right) - {\left(a^{10} b + 3 \, a^{8} b^{3} + 3 \, a^{6} b^{5} + a^{4} b^{7}\right)} d\right)} \sinh\left(d x + c\right)\right)}}"," ",0,"1/2*(12*a^6*b^2 + 18*a^4*b^4 + 6*a^2*b^6 + 2*(a^8 + 3*a^6*b^2 + 3*a^4*b^4 + a^2*b^6)*d*x*cosh(d*x + c)^4 + 2*(a^8 + 3*a^6*b^2 + 3*a^4*b^4 + a^2*b^6)*d*x*sinh(d*x + c)^4 + 2*(7*a^5*b^3 + 11*a^3*b^5 + 4*a*b^7 + 4*(a^7*b + 3*a^5*b^3 + 3*a^3*b^5 + a*b^7)*d*x)*cosh(d*x + c)^3 + 2*(7*a^5*b^3 + 11*a^3*b^5 + 4*a*b^7 + 4*(a^8 + 3*a^6*b^2 + 3*a^4*b^4 + a^2*b^6)*d*x*cosh(d*x + c) + 4*(a^7*b + 3*a^5*b^3 + 3*a^3*b^5 + a*b^7)*d*x)*sinh(d*x + c)^3 + 2*(a^8 + 3*a^6*b^2 + 3*a^4*b^4 + a^2*b^6)*d*x - 2*(6*a^6*b^2 - 3*a^4*b^4 - 15*a^2*b^6 - 6*b^8 + 2*(a^8 + a^6*b^2 - 3*a^4*b^4 - 5*a^2*b^6 - 2*b^8)*d*x)*cosh(d*x + c)^2 - 2*(6*a^6*b^2 - 3*a^4*b^4 - 15*a^2*b^6 - 6*b^8 - 6*(a^8 + 3*a^6*b^2 + 3*a^4*b^4 + a^2*b^6)*d*x*cosh(d*x + c)^2 + 2*(a^8 + a^6*b^2 - 3*a^4*b^4 - 5*a^2*b^6 - 2*b^8)*d*x - 3*(7*a^5*b^3 + 11*a^3*b^5 + 4*a*b^7 + 4*(a^7*b + 3*a^5*b^3 + 3*a^3*b^5 + a*b^7)*d*x)*cosh(d*x + c))*sinh(d*x + c)^2 + (6*a^6*b + 5*a^4*b^3 + 2*a^2*b^5 + (6*a^6*b + 5*a^4*b^3 + 2*a^2*b^5)*cosh(d*x + c)^4 + (6*a^6*b + 5*a^4*b^3 + 2*a^2*b^5)*sinh(d*x + c)^4 + 4*(6*a^5*b^2 + 5*a^3*b^4 + 2*a*b^6)*cosh(d*x + c)^3 + 4*(6*a^5*b^2 + 5*a^3*b^4 + 2*a*b^6 + (6*a^6*b + 5*a^4*b^3 + 2*a^2*b^5)*cosh(d*x + c))*sinh(d*x + c)^3 - 2*(6*a^6*b - 7*a^4*b^3 - 8*a^2*b^5 - 4*b^7)*cosh(d*x + c)^2 - 2*(6*a^6*b - 7*a^4*b^3 - 8*a^2*b^5 - 4*b^7 - 3*(6*a^6*b + 5*a^4*b^3 + 2*a^2*b^5)*cosh(d*x + c)^2 - 6*(6*a^5*b^2 + 5*a^3*b^4 + 2*a*b^6)*cosh(d*x + c))*sinh(d*x + c)^2 - 4*(6*a^5*b^2 + 5*a^3*b^4 + 2*a*b^6)*cosh(d*x + c) - 4*(6*a^5*b^2 + 5*a^3*b^4 + 2*a*b^6 - (6*a^6*b + 5*a^4*b^3 + 2*a^2*b^5)*cosh(d*x + c)^3 - 3*(6*a^5*b^2 + 5*a^3*b^4 + 2*a*b^6)*cosh(d*x + c)^2 + (6*a^6*b - 7*a^4*b^3 - 8*a^2*b^5 - 4*b^7)*cosh(d*x + c))*sinh(d*x + c))*sqrt(a^2 + b^2)*log((a^2*cosh(d*x + c)^2 + a^2*sinh(d*x + c)^2 + 2*a*b*cosh(d*x + c) + a^2 + 2*b^2 + 2*(a^2*cosh(d*x + c) + a*b)*sinh(d*x + c) + 2*sqrt(a^2 + b^2)*(a*cosh(d*x + c) + a*sinh(d*x + c) + b))/(a*cosh(d*x + c)^2 + a*sinh(d*x + c)^2 + 2*b*cosh(d*x + c) + 2*(a*cosh(d*x + c) + b)*sinh(d*x + c) - a)) - 2*(17*a^5*b^3 + 25*a^3*b^5 + 8*a*b^7 + 4*(a^7*b + 3*a^5*b^3 + 3*a^3*b^5 + a*b^7)*d*x)*cosh(d*x + c) - 2*(17*a^5*b^3 + 25*a^3*b^5 + 8*a*b^7 - 4*(a^8 + 3*a^6*b^2 + 3*a^4*b^4 + a^2*b^6)*d*x*cosh(d*x + c)^3 + 4*(a^7*b + 3*a^5*b^3 + 3*a^3*b^5 + a*b^7)*d*x - 3*(7*a^5*b^3 + 11*a^3*b^5 + 4*a*b^7 + 4*(a^7*b + 3*a^5*b^3 + 3*a^3*b^5 + a*b^7)*d*x)*cosh(d*x + c)^2 + 2*(6*a^6*b^2 - 3*a^4*b^4 - 15*a^2*b^6 - 6*b^8 + 2*(a^8 + a^6*b^2 - 3*a^4*b^4 - 5*a^2*b^6 - 2*b^8)*d*x)*cosh(d*x + c))*sinh(d*x + c))/((a^11 + 3*a^9*b^2 + 3*a^7*b^4 + a^5*b^6)*d*cosh(d*x + c)^4 + (a^11 + 3*a^9*b^2 + 3*a^7*b^4 + a^5*b^6)*d*sinh(d*x + c)^4 + 4*(a^10*b + 3*a^8*b^3 + 3*a^6*b^5 + a^4*b^7)*d*cosh(d*x + c)^3 - 2*(a^11 + a^9*b^2 - 3*a^7*b^4 - 5*a^5*b^6 - 2*a^3*b^8)*d*cosh(d*x + c)^2 + 4*((a^11 + 3*a^9*b^2 + 3*a^7*b^4 + a^5*b^6)*d*cosh(d*x + c) + (a^10*b + 3*a^8*b^3 + 3*a^6*b^5 + a^4*b^7)*d)*sinh(d*x + c)^3 - 4*(a^10*b + 3*a^8*b^3 + 3*a^6*b^5 + a^4*b^7)*d*cosh(d*x + c) + 2*(3*(a^11 + 3*a^9*b^2 + 3*a^7*b^4 + a^5*b^6)*d*cosh(d*x + c)^2 + 6*(a^10*b + 3*a^8*b^3 + 3*a^6*b^5 + a^4*b^7)*d*cosh(d*x + c) - (a^11 + a^9*b^2 - 3*a^7*b^4 - 5*a^5*b^6 - 2*a^3*b^8)*d)*sinh(d*x + c)^2 + (a^11 + 3*a^9*b^2 + 3*a^7*b^4 + a^5*b^6)*d + 4*((a^11 + 3*a^9*b^2 + 3*a^7*b^4 + a^5*b^6)*d*cosh(d*x + c)^3 + 3*(a^10*b + 3*a^8*b^3 + 3*a^6*b^5 + a^4*b^7)*d*cosh(d*x + c)^2 - (a^11 + a^9*b^2 - 3*a^7*b^4 - 5*a^5*b^6 - 2*a^3*b^8)*d*cosh(d*x + c) - (a^10*b + 3*a^8*b^3 + 3*a^6*b^5 + a^4*b^7)*d)*sinh(d*x + c))","B",0
77,1,807,0,0.426582," ","integrate(sinh(x)^3/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{{\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)^{6} + {\left(a^{5} + a^{3} b^{2}\right)} \sinh\left(x\right)^{6} - 3 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{5} - 3 \, {\left(a^{4} b + a^{2} b^{3} - 2 \, {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + a^{5} + a^{3} b^{2} + 12 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} x \cosh\left(x\right)^{3} - 3 \, {\left(3 \, a^{5} - a^{3} b^{2} - 4 \, a b^{4}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(3 \, a^{5} - a^{3} b^{2} - 4 \, a b^{4} - 5 \, {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 2 \, {\left(10 \, {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)^{3} - 15 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{2} + 6 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} x - 6 \, {\left(3 \, a^{5} - a^{3} b^{2} - 4 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 3 \, {\left(3 \, a^{5} - a^{3} b^{2} - 4 \, a b^{4}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(3 \, a^{5} - a^{3} b^{2} - 4 \, a b^{4} - 5 \, {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{3} - 12 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} x \cosh\left(x\right) + 6 \, {\left(3 \, a^{5} - a^{3} b^{2} - 4 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 24 \, {\left(b^{4} \cosh\left(x\right)^{3} + 3 \, b^{4} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{2} + b^{4} \sinh\left(x\right)^{3}\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) - a}\right) + 3 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right) + 3 \, {\left(2 \, {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)^{5} + a^{4} b + a^{2} b^{3} - 5 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{4} + 12 \, {\left(a^{4} b - a^{2} b^{3} - 2 \, b^{5}\right)} x \cosh\left(x\right)^{2} - 4 \, {\left(3 \, a^{5} - a^{3} b^{2} - 4 \, a b^{4}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(3 \, a^{5} - a^{3} b^{2} - 4 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left({\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, {\left(a^{6} + a^{4} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{6} + a^{4} b^{2}\right)} \sinh\left(x\right)^{3}\right)}}"," ",0,"1/24*((a^5 + a^3*b^2)*cosh(x)^6 + (a^5 + a^3*b^2)*sinh(x)^6 - 3*(a^4*b + a^2*b^3)*cosh(x)^5 - 3*(a^4*b + a^2*b^3 - 2*(a^5 + a^3*b^2)*cosh(x))*sinh(x)^5 + a^5 + a^3*b^2 + 12*(a^4*b - a^2*b^3 - 2*b^5)*x*cosh(x)^3 - 3*(3*a^5 - a^3*b^2 - 4*a*b^4)*cosh(x)^4 - 3*(3*a^5 - a^3*b^2 - 4*a*b^4 - 5*(a^5 + a^3*b^2)*cosh(x)^2 + 5*(a^4*b + a^2*b^3)*cosh(x))*sinh(x)^4 + 2*(10*(a^5 + a^3*b^2)*cosh(x)^3 - 15*(a^4*b + a^2*b^3)*cosh(x)^2 + 6*(a^4*b - a^2*b^3 - 2*b^5)*x - 6*(3*a^5 - a^3*b^2 - 4*a*b^4)*cosh(x))*sinh(x)^3 - 3*(3*a^5 - a^3*b^2 - 4*a*b^4)*cosh(x)^2 - 3*(3*a^5 - a^3*b^2 - 4*a*b^4 - 5*(a^5 + a^3*b^2)*cosh(x)^4 + 10*(a^4*b + a^2*b^3)*cosh(x)^3 - 12*(a^4*b - a^2*b^3 - 2*b^5)*x*cosh(x) + 6*(3*a^5 - a^3*b^2 - 4*a*b^4)*cosh(x)^2)*sinh(x)^2 + 24*(b^4*cosh(x)^3 + 3*b^4*cosh(x)^2*sinh(x) + 3*b^4*cosh(x)*sinh(x)^2 + b^4*sinh(x)^3)*sqrt(a^2 + b^2)*log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) - a)) + 3*(a^4*b + a^2*b^3)*cosh(x) + 3*(2*(a^5 + a^3*b^2)*cosh(x)^5 + a^4*b + a^2*b^3 - 5*(a^4*b + a^2*b^3)*cosh(x)^4 + 12*(a^4*b - a^2*b^3 - 2*b^5)*x*cosh(x)^2 - 4*(3*a^5 - a^3*b^2 - 4*a*b^4)*cosh(x)^3 - 2*(3*a^5 - a^3*b^2 - 4*a*b^4)*cosh(x))*sinh(x))/((a^6 + a^4*b^2)*cosh(x)^3 + 3*(a^6 + a^4*b^2)*cosh(x)^2*sinh(x) + 3*(a^6 + a^4*b^2)*cosh(x)*sinh(x)^2 + (a^6 + a^4*b^2)*sinh(x)^3)","B",0
78,1,456,0,0.421732," ","integrate(sinh(x)^2/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{{\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)^{4} + {\left(a^{4} + a^{2} b^{2}\right)} \sinh\left(x\right)^{4} - a^{4} - a^{2} b^{2} - 4 \, {\left(a^{4} - a^{2} b^{2} - 2 \, b^{4}\right)} x \cosh\left(x\right)^{2} - 4 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)^{3} - 4 \, {\left(a^{3} b + a b^{3} - {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 2 \, {\left(3 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{4} - a^{2} b^{2} - 2 \, b^{4}\right)} x - 6 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 8 \, {\left(b^{3} \cosh\left(x\right)^{2} + 2 \, b^{3} \cosh\left(x\right) \sinh\left(x\right) + b^{3} \sinh\left(x\right)^{2}\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) - a}\right) - 4 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right) - 4 \, {\left(a^{3} b + a b^{3} - {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{4} - a^{2} b^{2} - 2 \, b^{4}\right)} x \cosh\left(x\right) + 3 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)}{8 \, {\left({\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{5} + a^{3} b^{2}\right)} \sinh\left(x\right)^{2}\right)}}"," ",0,"1/8*((a^4 + a^2*b^2)*cosh(x)^4 + (a^4 + a^2*b^2)*sinh(x)^4 - a^4 - a^2*b^2 - 4*(a^4 - a^2*b^2 - 2*b^4)*x*cosh(x)^2 - 4*(a^3*b + a*b^3)*cosh(x)^3 - 4*(a^3*b + a*b^3 - (a^4 + a^2*b^2)*cosh(x))*sinh(x)^3 + 2*(3*(a^4 + a^2*b^2)*cosh(x)^2 - 2*(a^4 - a^2*b^2 - 2*b^4)*x - 6*(a^3*b + a*b^3)*cosh(x))*sinh(x)^2 + 8*(b^3*cosh(x)^2 + 2*b^3*cosh(x)*sinh(x) + b^3*sinh(x)^2)*sqrt(a^2 + b^2)*log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) - a)) - 4*(a^3*b + a*b^3)*cosh(x) - 4*(a^3*b + a*b^3 - (a^4 + a^2*b^2)*cosh(x)^3 + 2*(a^4 - a^2*b^2 - 2*b^4)*x*cosh(x) + 3*(a^3*b + a*b^3)*cosh(x)^2)*sinh(x))/((a^5 + a^3*b^2)*cosh(x)^2 + 2*(a^5 + a^3*b^2)*cosh(x)*sinh(x) + (a^5 + a^3*b^2)*sinh(x)^2)","B",0
79,1,238,0,0.419818," ","integrate(sinh(x)/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{a^{3} + a b^{2} - 2 \, {\left(a^{2} b + b^{3}\right)} x \cosh\left(x\right) + {\left(a^{3} + a b^{2}\right)} \cosh\left(x\right)^{2} + {\left(a^{3} + a b^{2}\right)} \sinh\left(x\right)^{2} + 2 \, {\left(b^{2} \cosh\left(x\right) + b^{2} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) - a}\right) - 2 \, {\left({\left(a^{2} b + b^{3}\right)} x - {\left(a^{3} + a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left({\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right) + {\left(a^{4} + a^{2} b^{2}\right)} \sinh\left(x\right)\right)}}"," ",0,"1/2*(a^3 + a*b^2 - 2*(a^2*b + b^3)*x*cosh(x) + (a^3 + a*b^2)*cosh(x)^2 + (a^3 + a*b^2)*sinh(x)^2 + 2*(b^2*cosh(x) + b^2*sinh(x))*sqrt(a^2 + b^2)*log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) - a)) - 2*((a^2*b + b^3)*x - (a^3 + a*b^2)*cosh(x))*sinh(x))/((a^4 + a^2*b^2)*cosh(x) + (a^4 + a^2*b^2)*sinh(x))","B",0
80,1,111,0,0.395830," ","integrate(csch(x)/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{\log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) - a}\right)}{\sqrt{a^{2} + b^{2}}}"," ",0,"log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) - a))/sqrt(a^2 + b^2)","B",0
81,1,156,0,0.440057," ","integrate(csch(x)^2/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{\sqrt{a^{2} + b^{2}} a \log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) - a}\right) - {\left(a^{2} + b^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left(a^{2} + b^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)}{a^{2} b + b^{3}}"," ",0,"(sqrt(a^2 + b^2)*a*log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) - a)) - (a^2 + b^2)*log(cosh(x) + sinh(x) + 1) + (a^2 + b^2)*log(cosh(x) + sinh(x) - 1))/(a^2*b + b^3)","B",0
82,1,345,0,0.433650," ","integrate(csch(x)^3/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{2 \, a^{2} b + 2 \, b^{3} - {\left(a^{2} \cosh\left(x\right)^{2} + 2 \, a^{2} \cosh\left(x\right) \sinh\left(x\right) + a^{2} \sinh\left(x\right)^{2} - a^{2}\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) - 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) - a}\right) + {\left(a^{3} + a b^{2} - {\left(a^{3} + a b^{2}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{3} + a b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(a^{3} + a b^{2}\right)} \sinh\left(x\right)^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left(a^{3} + a b^{2} - {\left(a^{3} + a b^{2}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{3} + a b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(a^{3} + a b^{2}\right)} \sinh\left(x\right)^{2}\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right)}{a^{2} b^{2} + b^{4} - {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right) - {\left(a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{2}}"," ",0,"(2*a^2*b + 2*b^3 - (a^2*cosh(x)^2 + 2*a^2*cosh(x)*sinh(x) + a^2*sinh(x)^2 - a^2)*sqrt(a^2 + b^2)*log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) - 2*sqrt(a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) - a)) + (a^3 + a*b^2 - (a^3 + a*b^2)*cosh(x)^2 - 2*(a^3 + a*b^2)*cosh(x)*sinh(x) - (a^3 + a*b^2)*sinh(x)^2)*log(cosh(x) + sinh(x) + 1) - (a^3 + a*b^2 - (a^3 + a*b^2)*cosh(x)^2 - 2*(a^3 + a*b^2)*cosh(x)*sinh(x) - (a^3 + a*b^2)*sinh(x)^2)*log(cosh(x) + sinh(x) - 1))/(a^2*b^2 + b^4 - (a^2*b^2 + b^4)*cosh(x)^2 - 2*(a^2*b^2 + b^4)*cosh(x)*sinh(x) - (a^2*b^2 + b^4)*sinh(x)^2)","B",0
83,1,947,0,0.525756," ","integrate(csch(x)^4/(a+b*csch(x)),x, algorithm=""fricas"")","-\frac{4 \, a^{3} b + 4 \, a b^{3} + 2 \, {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{3} - 4 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, a^{3} b + 2 \, a b^{3} - 3 \, {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 2 \, {\left(a^{3} \cosh\left(x\right)^{4} + 4 \, a^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{3} \sinh\left(x\right)^{4} - 2 \, a^{3} \cosh\left(x\right)^{2} + a^{3} + 2 \, {\left(3 \, a^{3} \cosh\left(x\right)^{2} - a^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{3} \cosh\left(x\right)^{3} - a^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) - a}\right) + 2 \, {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) + {\left({\left(2 \, a^{4} + a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a^{4} + a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a^{4} + a^{2} b^{2} - b^{4}\right)} \sinh\left(x\right)^{4} + 2 \, a^{4} + a^{2} b^{2} - b^{4} - 2 \, {\left(2 \, a^{4} + a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, a^{4} + a^{2} b^{2} - b^{4} - 3 \, {\left(2 \, a^{4} + a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(2 \, a^{4} + a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{3} - {\left(2 \, a^{4} + a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) - {\left({\left(2 \, a^{4} + a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a^{4} + a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a^{4} + a^{2} b^{2} - b^{4}\right)} \sinh\left(x\right)^{4} + 2 \, a^{4} + a^{2} b^{2} - b^{4} - 2 \, {\left(2 \, a^{4} + a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, a^{4} + a^{2} b^{2} - b^{4} - 3 \, {\left(2 \, a^{4} + a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(2 \, a^{4} + a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)^{3} - {\left(2 \, a^{4} + a^{2} b^{2} - b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(a^{2} b^{2} + b^{4} + 3 \, {\left(a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left(a^{2} b^{3} + b^{5} + {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} b^{3} + b^{5}\right)} \sinh\left(x\right)^{4} - 2 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(a^{2} b^{3} + b^{5} - 3 \, {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} - {\left(a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/2*(4*a^3*b + 4*a*b^3 + 2*(a^2*b^2 + b^4)*cosh(x)^3 + 2*(a^2*b^2 + b^4)*sinh(x)^3 - 4*(a^3*b + a*b^3)*cosh(x)^2 - 2*(2*a^3*b + 2*a*b^3 - 3*(a^2*b^2 + b^4)*cosh(x))*sinh(x)^2 - 2*(a^3*cosh(x)^4 + 4*a^3*cosh(x)*sinh(x)^3 + a^3*sinh(x)^4 - 2*a^3*cosh(x)^2 + a^3 + 2*(3*a^3*cosh(x)^2 - a^3)*sinh(x)^2 + 4*(a^3*cosh(x)^3 - a^3*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) - a)) + 2*(a^2*b^2 + b^4)*cosh(x) + ((2*a^4 + a^2*b^2 - b^4)*cosh(x)^4 + 4*(2*a^4 + a^2*b^2 - b^4)*cosh(x)*sinh(x)^3 + (2*a^4 + a^2*b^2 - b^4)*sinh(x)^4 + 2*a^4 + a^2*b^2 - b^4 - 2*(2*a^4 + a^2*b^2 - b^4)*cosh(x)^2 - 2*(2*a^4 + a^2*b^2 - b^4 - 3*(2*a^4 + a^2*b^2 - b^4)*cosh(x)^2)*sinh(x)^2 + 4*((2*a^4 + a^2*b^2 - b^4)*cosh(x)^3 - (2*a^4 + a^2*b^2 - b^4)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) - ((2*a^4 + a^2*b^2 - b^4)*cosh(x)^4 + 4*(2*a^4 + a^2*b^2 - b^4)*cosh(x)*sinh(x)^3 + (2*a^4 + a^2*b^2 - b^4)*sinh(x)^4 + 2*a^4 + a^2*b^2 - b^4 - 2*(2*a^4 + a^2*b^2 - b^4)*cosh(x)^2 - 2*(2*a^4 + a^2*b^2 - b^4 - 3*(2*a^4 + a^2*b^2 - b^4)*cosh(x)^2)*sinh(x)^2 + 4*((2*a^4 + a^2*b^2 - b^4)*cosh(x)^3 - (2*a^4 + a^2*b^2 - b^4)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) + 2*(a^2*b^2 + b^4 + 3*(a^2*b^2 + b^4)*cosh(x)^2 - 4*(a^3*b + a*b^3)*cosh(x))*sinh(x))/(a^2*b^3 + b^5 + (a^2*b^3 + b^5)*cosh(x)^4 + 4*(a^2*b^3 + b^5)*cosh(x)*sinh(x)^3 + (a^2*b^3 + b^5)*sinh(x)^4 - 2*(a^2*b^3 + b^5)*cosh(x)^2 - 2*(a^2*b^3 + b^5 - 3*(a^2*b^3 + b^5)*cosh(x)^2)*sinh(x)^2 + 4*((a^2*b^3 + b^5)*cosh(x)^3 - (a^2*b^3 + b^5)*cosh(x))*sinh(x))","B",0
84,1,43,0,0.409706," ","integrate(cosh(x)^4/(I+csch(x)),x, algorithm=""fricas"")","\frac{1}{192} \, {\left(24 i \, x e^{\left(4 \, x\right)} - 3 i \, e^{\left(8 \, x\right)} + 8 \, e^{\left(7 \, x\right)} + 24 \, e^{\left(5 \, x\right)} + 24 \, e^{\left(3 \, x\right)} + 8 \, e^{x} + 3 i\right)} e^{\left(-4 \, x\right)}"," ",0,"1/192*(24*I*x*e^(4*x) - 3*I*e^(8*x) + 8*e^(7*x) + 24*e^(5*x) + 24*e^(3*x) + 8*e^x + 3*I)*e^(-4*x)","A",0
85,1,36,0,0.403558," ","integrate(cosh(x)^3/(I+csch(x)),x, algorithm=""fricas"")","\frac{1}{24} \, {\left(-i \, e^{\left(6 \, x\right)} + 3 \, e^{\left(5 \, x\right)} + 3 i \, e^{\left(4 \, x\right)} - 3 i \, e^{\left(2 \, x\right)} + 3 \, e^{x} + i\right)} e^{\left(-3 \, x\right)}"," ",0,"1/24*(-I*e^(6*x) + 3*e^(5*x) + 3*I*e^(4*x) - 3*I*e^(2*x) + 3*e^x + I)*e^(-3*x)","B",0
86,1,31,0,0.464181," ","integrate(cosh(x)^2/(I+csch(x)),x, algorithm=""fricas"")","\frac{1}{8} \, {\left(4 i \, x e^{\left(2 \, x\right)} - i \, e^{\left(4 \, x\right)} + 4 \, e^{\left(3 \, x\right)} + 4 \, e^{x} + i\right)} e^{\left(-2 \, x\right)}"," ",0,"1/8*(4*I*x*e^(2*x) - I*e^(4*x) + 4*e^(3*x) + 4*e^x + I)*e^(-2*x)","B",0
87,1,28,0,0.596492," ","integrate(cosh(x)/(I+csch(x)),x, algorithm=""fricas"")","-\frac{1}{2} \, {\left(2 \, x e^{x} - 4 \, e^{x} \log\left(e^{x} - i\right) + i \, e^{\left(2 \, x\right)} - i\right)} e^{\left(-x\right)}"," ",0,"-1/2*(2*x*e^x - 4*e^x*log(e^x - I) + I*e^(2*x) - I)*e^(-x)","B",0
88,1,53,0,0.404920," ","integrate(sech(x)/(I+csch(x)),x, algorithm=""fricas"")","\frac{{\left(e^{\left(2 \, x\right)} - 2 i \, e^{x} - 1\right)} \log\left(e^{x} + i\right) - {\left(e^{\left(2 \, x\right)} - 2 i \, e^{x} - 1\right)} \log\left(e^{x} - i\right) + 2 i \, e^{x}}{2 \, e^{\left(2 \, x\right)} - 4 i \, e^{x} - 2}"," ",0,"((e^(2*x) - 2*I*e^x - 1)*log(e^x + I) - (e^(2*x) - 2*I*e^x - 1)*log(e^x - I) + 2*I*e^x)/(2*e^(2*x) - 4*I*e^x - 2)","B",0
89,1,33,0,0.391837," ","integrate(sech(x)^2/(I+csch(x)),x, algorithm=""fricas"")","\frac{6 i \, e^{\left(2 \, x\right)} + 4 \, e^{x} - 2 i}{3 \, e^{\left(4 \, x\right)} - 6 i \, e^{\left(3 \, x\right)} - 6 i \, e^{x} - 3}"," ",0,"(6*I*e^(2*x) + 4*e^x - 2*I)/(3*e^(4*x) - 6*I*e^(3*x) - 6*I*e^x - 3)","B",0
90,1,145,0,0.411921," ","integrate(sech(x)^3/(I+csch(x)),x, algorithm=""fricas"")","\frac{{\left(e^{\left(6 \, x\right)} - 2 i \, e^{\left(5 \, x\right)} + e^{\left(4 \, x\right)} - 4 i \, e^{\left(3 \, x\right)} - e^{\left(2 \, x\right)} - 2 i \, e^{x} - 1\right)} \log\left(e^{x} + i\right) - {\left(e^{\left(6 \, x\right)} - 2 i \, e^{\left(5 \, x\right)} + e^{\left(4 \, x\right)} - 4 i \, e^{\left(3 \, x\right)} - e^{\left(2 \, x\right)} - 2 i \, e^{x} - 1\right)} \log\left(e^{x} - i\right) - 2 i \, e^{\left(5 \, x\right)} - 4 \, e^{\left(4 \, x\right)} + 20 i \, e^{\left(3 \, x\right)} + 4 \, e^{\left(2 \, x\right)} - 2 i \, e^{x}}{8 \, e^{\left(6 \, x\right)} - 16 i \, e^{\left(5 \, x\right)} + 8 \, e^{\left(4 \, x\right)} - 32 i \, e^{\left(3 \, x\right)} - 8 \, e^{\left(2 \, x\right)} - 16 i \, e^{x} - 8}"," ",0,"((e^(6*x) - 2*I*e^(5*x) + e^(4*x) - 4*I*e^(3*x) - e^(2*x) - 2*I*e^x - 1)*log(e^x + I) - (e^(6*x) - 2*I*e^(5*x) + e^(4*x) - 4*I*e^(3*x) - e^(2*x) - 2*I*e^x - 1)*log(e^x - I) - 2*I*e^(5*x) - 4*e^(4*x) + 20*I*e^(3*x) + 4*e^(2*x) - 2*I*e^x)/(8*e^(6*x) - 16*I*e^(5*x) + 8*e^(4*x) - 32*I*e^(3*x) - 8*e^(2*x) - 16*I*e^x - 8)","B",0
91,1,69,0,0.523544," ","integrate(sech(x)^4/(I+csch(x)),x, algorithm=""fricas"")","\frac{60 i \, e^{\left(4 \, x\right)} + 24 \, e^{\left(3 \, x\right)} - 8 i \, e^{\left(2 \, x\right)} + 8 \, e^{x} - 4 i}{15 \, e^{\left(8 \, x\right)} - 30 i \, e^{\left(7 \, x\right)} + 30 \, e^{\left(6 \, x\right)} - 90 i \, e^{\left(5 \, x\right)} - 90 i \, e^{\left(3 \, x\right)} - 30 \, e^{\left(2 \, x\right)} - 30 i \, e^{x} - 15}"," ",0,"(60*I*e^(4*x) + 24*e^(3*x) - 8*I*e^(2*x) + 8*e^x - 4*I)/(15*e^(8*x) - 30*I*e^(7*x) + 30*e^(6*x) - 90*I*e^(5*x) - 90*I*e^(3*x) - 30*e^(2*x) - 30*I*e^x - 15)","B",0
92,1,1398,0,0.555480," ","integrate(cosh(x)^5/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{6 \, a^{5} \cosh\left(x\right)^{10} + 6 \, a^{5} \sinh\left(x\right)^{10} - 15 \, a^{4} b \cosh\left(x\right)^{9} + 15 \, {\left(4 \, a^{5} \cosh\left(x\right) - a^{4} b\right)} \sinh\left(x\right)^{9} + 10 \, {\left(5 \, a^{5} + 4 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{8} + 5 \, {\left(54 \, a^{5} \cosh\left(x\right)^{2} - 27 \, a^{4} b \cosh\left(x\right) + 10 \, a^{5} + 8 \, a^{3} b^{2}\right)} \sinh\left(x\right)^{8} - 60 \, {\left(3 \, a^{4} b + 2 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{7} + 20 \, {\left(36 \, a^{5} \cosh\left(x\right)^{3} - 27 \, a^{4} b \cosh\left(x\right)^{2} - 9 \, a^{4} b - 6 \, a^{2} b^{3} + 4 \, {\left(5 \, a^{5} + 4 \, a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 960 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} x \cosh\left(x\right)^{5} + 60 \, {\left(5 \, a^{5} + 14 \, a^{3} b^{2} + 8 \, a b^{4}\right)} \cosh\left(x\right)^{6} + 20 \, {\left(63 \, a^{5} \cosh\left(x\right)^{4} - 63 \, a^{4} b \cosh\left(x\right)^{3} + 15 \, a^{5} + 42 \, a^{3} b^{2} + 24 \, a b^{4} + 14 \, {\left(5 \, a^{5} + 4 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{2} - 21 \, {\left(3 \, a^{4} b + 2 \, a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} - 15 \, a^{4} b \cosh\left(x\right) + 2 \, {\left(756 \, a^{5} \cosh\left(x\right)^{5} - 945 \, a^{4} b \cosh\left(x\right)^{4} + 280 \, {\left(5 \, a^{5} + 4 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{3} - 630 \, {\left(3 \, a^{4} b + 2 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{2} + 480 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} x + 180 \, {\left(5 \, a^{5} + 14 \, a^{3} b^{2} + 8 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 6 \, a^{5} - 60 \, {\left(5 \, a^{5} + 14 \, a^{3} b^{2} + 8 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(126 \, a^{5} \cosh\left(x\right)^{6} - 189 \, a^{4} b \cosh\left(x\right)^{5} - 30 \, a^{5} - 84 \, a^{3} b^{2} - 48 \, a b^{4} + 70 \, {\left(5 \, a^{5} + 4 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{4} - 210 \, {\left(3 \, a^{4} b + 2 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{3} + 480 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} x \cosh\left(x\right) + 90 \, {\left(5 \, a^{5} + 14 \, a^{3} b^{2} + 8 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} - 60 \, {\left(3 \, a^{4} b + 2 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{3} + 20 \, {\left(36 \, a^{5} \cosh\left(x\right)^{7} - 63 \, a^{4} b \cosh\left(x\right)^{6} + 28 \, {\left(5 \, a^{5} + 4 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{5} - 9 \, a^{4} b - 6 \, a^{2} b^{3} - 105 \, {\left(3 \, a^{4} b + 2 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{4} + 480 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} x \cosh\left(x\right)^{2} + 60 \, {\left(5 \, a^{5} + 14 \, a^{3} b^{2} + 8 \, a b^{4}\right)} \cosh\left(x\right)^{3} - 12 \, {\left(5 \, a^{5} + 14 \, a^{3} b^{2} + 8 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 10 \, {\left(5 \, a^{5} + 4 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{2} + 10 \, {\left(27 \, a^{5} \cosh\left(x\right)^{8} - 54 \, a^{4} b \cosh\left(x\right)^{7} + 28 \, {\left(5 \, a^{5} + 4 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{6} - 126 \, {\left(3 \, a^{4} b + 2 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{5} - 5 \, a^{5} - 4 \, a^{3} b^{2} + 960 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} x \cosh\left(x\right)^{3} + 90 \, {\left(5 \, a^{5} + 14 \, a^{3} b^{2} + 8 \, a b^{4}\right)} \cosh\left(x\right)^{4} - 36 \, {\left(5 \, a^{5} + 14 \, a^{3} b^{2} + 8 \, a b^{4}\right)} \cosh\left(x\right)^{2} - 18 \, {\left(3 \, a^{4} b + 2 \, a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 960 \, {\left({\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} \sinh\left(x\right) + 10 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} \sinh\left(x\right)^{2} + 10 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right)^{3} + 5 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{4} + {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} \sinh\left(x\right)^{5}\right)} \log\left(\frac{2 \, {\left(a \sinh\left(x\right) + b\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 5 \, {\left(12 \, a^{5} \cosh\left(x\right)^{9} - 27 \, a^{4} b \cosh\left(x\right)^{8} + 16 \, {\left(5 \, a^{5} + 4 \, a^{3} b^{2}\right)} \cosh\left(x\right)^{7} - 84 \, {\left(3 \, a^{4} b + 2 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{6} + 960 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} x \cosh\left(x\right)^{4} + 72 \, {\left(5 \, a^{5} + 14 \, a^{3} b^{2} + 8 \, a b^{4}\right)} \cosh\left(x\right)^{5} - 3 \, a^{4} b - 48 \, {\left(5 \, a^{5} + 14 \, a^{3} b^{2} + 8 \, a b^{4}\right)} \cosh\left(x\right)^{3} - 36 \, {\left(3 \, a^{4} b + 2 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(5 \, a^{5} + 4 \, a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{960 \, {\left(a^{6} \cosh\left(x\right)^{5} + 5 \, a^{6} \cosh\left(x\right)^{4} \sinh\left(x\right) + 10 \, a^{6} \cosh\left(x\right)^{3} \sinh\left(x\right)^{2} + 10 \, a^{6} \cosh\left(x\right)^{2} \sinh\left(x\right)^{3} + 5 \, a^{6} \cosh\left(x\right) \sinh\left(x\right)^{4} + a^{6} \sinh\left(x\right)^{5}\right)}}"," ",0,"1/960*(6*a^5*cosh(x)^10 + 6*a^5*sinh(x)^10 - 15*a^4*b*cosh(x)^9 + 15*(4*a^5*cosh(x) - a^4*b)*sinh(x)^9 + 10*(5*a^5 + 4*a^3*b^2)*cosh(x)^8 + 5*(54*a^5*cosh(x)^2 - 27*a^4*b*cosh(x) + 10*a^5 + 8*a^3*b^2)*sinh(x)^8 - 60*(3*a^4*b + 2*a^2*b^3)*cosh(x)^7 + 20*(36*a^5*cosh(x)^3 - 27*a^4*b*cosh(x)^2 - 9*a^4*b - 6*a^2*b^3 + 4*(5*a^5 + 4*a^3*b^2)*cosh(x))*sinh(x)^7 + 960*(a^4*b + 2*a^2*b^3 + b^5)*x*cosh(x)^5 + 60*(5*a^5 + 14*a^3*b^2 + 8*a*b^4)*cosh(x)^6 + 20*(63*a^5*cosh(x)^4 - 63*a^4*b*cosh(x)^3 + 15*a^5 + 42*a^3*b^2 + 24*a*b^4 + 14*(5*a^5 + 4*a^3*b^2)*cosh(x)^2 - 21*(3*a^4*b + 2*a^2*b^3)*cosh(x))*sinh(x)^6 - 15*a^4*b*cosh(x) + 2*(756*a^5*cosh(x)^5 - 945*a^4*b*cosh(x)^4 + 280*(5*a^5 + 4*a^3*b^2)*cosh(x)^3 - 630*(3*a^4*b + 2*a^2*b^3)*cosh(x)^2 + 480*(a^4*b + 2*a^2*b^3 + b^5)*x + 180*(5*a^5 + 14*a^3*b^2 + 8*a*b^4)*cosh(x))*sinh(x)^5 - 6*a^5 - 60*(5*a^5 + 14*a^3*b^2 + 8*a*b^4)*cosh(x)^4 + 10*(126*a^5*cosh(x)^6 - 189*a^4*b*cosh(x)^5 - 30*a^5 - 84*a^3*b^2 - 48*a*b^4 + 70*(5*a^5 + 4*a^3*b^2)*cosh(x)^4 - 210*(3*a^4*b + 2*a^2*b^3)*cosh(x)^3 + 480*(a^4*b + 2*a^2*b^3 + b^5)*x*cosh(x) + 90*(5*a^5 + 14*a^3*b^2 + 8*a*b^4)*cosh(x)^2)*sinh(x)^4 - 60*(3*a^4*b + 2*a^2*b^3)*cosh(x)^3 + 20*(36*a^5*cosh(x)^7 - 63*a^4*b*cosh(x)^6 + 28*(5*a^5 + 4*a^3*b^2)*cosh(x)^5 - 9*a^4*b - 6*a^2*b^3 - 105*(3*a^4*b + 2*a^2*b^3)*cosh(x)^4 + 480*(a^4*b + 2*a^2*b^3 + b^5)*x*cosh(x)^2 + 60*(5*a^5 + 14*a^3*b^2 + 8*a*b^4)*cosh(x)^3 - 12*(5*a^5 + 14*a^3*b^2 + 8*a*b^4)*cosh(x))*sinh(x)^3 - 10*(5*a^5 + 4*a^3*b^2)*cosh(x)^2 + 10*(27*a^5*cosh(x)^8 - 54*a^4*b*cosh(x)^7 + 28*(5*a^5 + 4*a^3*b^2)*cosh(x)^6 - 126*(3*a^4*b + 2*a^2*b^3)*cosh(x)^5 - 5*a^5 - 4*a^3*b^2 + 960*(a^4*b + 2*a^2*b^3 + b^5)*x*cosh(x)^3 + 90*(5*a^5 + 14*a^3*b^2 + 8*a*b^4)*cosh(x)^4 - 36*(5*a^5 + 14*a^3*b^2 + 8*a*b^4)*cosh(x)^2 - 18*(3*a^4*b + 2*a^2*b^3)*cosh(x))*sinh(x)^2 - 960*((a^4*b + 2*a^2*b^3 + b^5)*cosh(x)^5 + 5*(a^4*b + 2*a^2*b^3 + b^5)*cosh(x)^4*sinh(x) + 10*(a^4*b + 2*a^2*b^3 + b^5)*cosh(x)^3*sinh(x)^2 + 10*(a^4*b + 2*a^2*b^3 + b^5)*cosh(x)^2*sinh(x)^3 + 5*(a^4*b + 2*a^2*b^3 + b^5)*cosh(x)*sinh(x)^4 + (a^4*b + 2*a^2*b^3 + b^5)*sinh(x)^5)*log(2*(a*sinh(x) + b)/(cosh(x) - sinh(x))) + 5*(12*a^5*cosh(x)^9 - 27*a^4*b*cosh(x)^8 + 16*(5*a^5 + 4*a^3*b^2)*cosh(x)^7 - 84*(3*a^4*b + 2*a^2*b^3)*cosh(x)^6 + 960*(a^4*b + 2*a^2*b^3 + b^5)*x*cosh(x)^4 + 72*(5*a^5 + 14*a^3*b^2 + 8*a*b^4)*cosh(x)^5 - 3*a^4*b - 48*(5*a^5 + 14*a^3*b^2 + 8*a*b^4)*cosh(x)^3 - 36*(3*a^4*b + 2*a^2*b^3)*cosh(x)^2 - 4*(5*a^5 + 4*a^3*b^2)*cosh(x))*sinh(x))/(a^6*cosh(x)^5 + 5*a^6*cosh(x)^4*sinh(x) + 10*a^6*cosh(x)^3*sinh(x)^2 + 10*a^6*cosh(x)^2*sinh(x)^3 + 5*a^6*cosh(x)*sinh(x)^4 + a^6*sinh(x)^5)","B",0
93,1,924,0,0.589787," ","integrate(cosh(x)^4/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{3 \, a^{4} \cosh\left(x\right)^{8} + 3 \, a^{4} \sinh\left(x\right)^{8} - 8 \, a^{3} b \cosh\left(x\right)^{7} + 8 \, {\left(3 \, a^{4} \cosh\left(x\right) - a^{3} b\right)} \sinh\left(x\right)^{7} + 24 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(21 \, a^{4} \cosh\left(x\right)^{2} - 14 \, a^{3} b \cosh\left(x\right) + 6 \, a^{4} + 6 \, a^{2} b^{2}\right)} \sinh\left(x\right)^{6} + 24 \, {\left(3 \, a^{4} + 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} x \cosh\left(x\right)^{4} - 24 \, {\left(5 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{5} + 24 \, {\left(7 \, a^{4} \cosh\left(x\right)^{3} - 7 \, a^{3} b \cosh\left(x\right)^{2} - 5 \, a^{3} b - 4 \, a b^{3} + 6 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 8 \, a^{3} b \cosh\left(x\right) + 2 \, {\left(105 \, a^{4} \cosh\left(x\right)^{4} - 140 \, a^{3} b \cosh\left(x\right)^{3} + 180 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(3 \, a^{4} + 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} x - 60 \, {\left(5 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 3 \, a^{4} - 24 \, {\left(5 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 8 \, {\left(21 \, a^{4} \cosh\left(x\right)^{5} - 35 \, a^{3} b \cosh\left(x\right)^{4} - 15 \, a^{3} b - 12 \, a b^{3} + 60 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)^{3} + 12 \, {\left(3 \, a^{4} + 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} x \cosh\left(x\right) - 30 \, {\left(5 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{3} - 24 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(7 \, a^{4} \cosh\left(x\right)^{6} - 14 \, a^{3} b \cosh\left(x\right)^{5} + 30 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)^{4} - 2 \, a^{4} - 2 \, a^{2} b^{2} + 12 \, {\left(3 \, a^{4} + 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} x \cosh\left(x\right)^{2} - 20 \, {\left(5 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(5 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 192 \, {\left({\left(a^{2} b + b^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} b + b^{3}\right)} \sinh\left(x\right)^{4}\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) - a}\right) + 8 \, {\left(3 \, a^{4} \cosh\left(x\right)^{7} - 7 \, a^{3} b \cosh\left(x\right)^{6} + 18 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)^{5} + 12 \, {\left(3 \, a^{4} + 12 \, a^{2} b^{2} + 8 \, b^{4}\right)} x \cosh\left(x\right)^{3} - 15 \, {\left(5 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{4} - a^{3} b - 9 \, {\left(5 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(a^{4} + a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{192 \, {\left(a^{5} \cosh\left(x\right)^{4} + 4 \, a^{5} \cosh\left(x\right)^{3} \sinh\left(x\right) + 6 \, a^{5} \cosh\left(x\right)^{2} \sinh\left(x\right)^{2} + 4 \, a^{5} \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{5} \sinh\left(x\right)^{4}\right)}}"," ",0,"1/192*(3*a^4*cosh(x)^8 + 3*a^4*sinh(x)^8 - 8*a^3*b*cosh(x)^7 + 8*(3*a^4*cosh(x) - a^3*b)*sinh(x)^7 + 24*(a^4 + a^2*b^2)*cosh(x)^6 + 4*(21*a^4*cosh(x)^2 - 14*a^3*b*cosh(x) + 6*a^4 + 6*a^2*b^2)*sinh(x)^6 + 24*(3*a^4 + 12*a^2*b^2 + 8*b^4)*x*cosh(x)^4 - 24*(5*a^3*b + 4*a*b^3)*cosh(x)^5 + 24*(7*a^4*cosh(x)^3 - 7*a^3*b*cosh(x)^2 - 5*a^3*b - 4*a*b^3 + 6*(a^4 + a^2*b^2)*cosh(x))*sinh(x)^5 - 8*a^3*b*cosh(x) + 2*(105*a^4*cosh(x)^4 - 140*a^3*b*cosh(x)^3 + 180*(a^4 + a^2*b^2)*cosh(x)^2 + 12*(3*a^4 + 12*a^2*b^2 + 8*b^4)*x - 60*(5*a^3*b + 4*a*b^3)*cosh(x))*sinh(x)^4 - 3*a^4 - 24*(5*a^3*b + 4*a*b^3)*cosh(x)^3 + 8*(21*a^4*cosh(x)^5 - 35*a^3*b*cosh(x)^4 - 15*a^3*b - 12*a*b^3 + 60*(a^4 + a^2*b^2)*cosh(x)^3 + 12*(3*a^4 + 12*a^2*b^2 + 8*b^4)*x*cosh(x) - 30*(5*a^3*b + 4*a*b^3)*cosh(x)^2)*sinh(x)^3 - 24*(a^4 + a^2*b^2)*cosh(x)^2 + 12*(7*a^4*cosh(x)^6 - 14*a^3*b*cosh(x)^5 + 30*(a^4 + a^2*b^2)*cosh(x)^4 - 2*a^4 - 2*a^2*b^2 + 12*(3*a^4 + 12*a^2*b^2 + 8*b^4)*x*cosh(x)^2 - 20*(5*a^3*b + 4*a*b^3)*cosh(x)^3 - 6*(5*a^3*b + 4*a*b^3)*cosh(x))*sinh(x)^2 + 192*((a^2*b + b^3)*cosh(x)^4 + 4*(a^2*b + b^3)*cosh(x)^3*sinh(x) + 6*(a^2*b + b^3)*cosh(x)^2*sinh(x)^2 + 4*(a^2*b + b^3)*cosh(x)*sinh(x)^3 + (a^2*b + b^3)*sinh(x)^4)*sqrt(a^2 + b^2)*log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) - a)) + 8*(3*a^4*cosh(x)^7 - 7*a^3*b*cosh(x)^6 + 18*(a^4 + a^2*b^2)*cosh(x)^5 + 12*(3*a^4 + 12*a^2*b^2 + 8*b^4)*x*cosh(x)^3 - 15*(5*a^3*b + 4*a*b^3)*cosh(x)^4 - a^3*b - 9*(5*a^3*b + 4*a*b^3)*cosh(x)^2 - 6*(a^4 + a^2*b^2)*cosh(x))*sinh(x))/(a^5*cosh(x)^4 + 4*a^5*cosh(x)^3*sinh(x) + 6*a^5*cosh(x)^2*sinh(x)^2 + 4*a^5*cosh(x)*sinh(x)^3 + a^5*sinh(x)^4)","B",0
94,1,476,0,0.664907," ","integrate(cosh(x)^3/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{a^{3} \cosh\left(x\right)^{6} + a^{3} \sinh\left(x\right)^{6} - 3 \, a^{2} b \cosh\left(x\right)^{5} + 3 \, {\left(2 \, a^{3} \cosh\left(x\right) - a^{2} b\right)} \sinh\left(x\right)^{5} + 24 \, {\left(a^{2} b + b^{3}\right)} x \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(5 \, a^{3} \cosh\left(x\right)^{2} - 5 \, a^{2} b \cosh\left(x\right) + 3 \, a^{3} + 4 \, a b^{2}\right)} \sinh\left(x\right)^{4} - 3 \, a^{2} b \cosh\left(x\right) + 2 \, {\left(10 \, a^{3} \cosh\left(x\right)^{3} - 15 \, a^{2} b \cosh\left(x\right)^{2} + 12 \, {\left(a^{2} b + b^{3}\right)} x + 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - a^{3} - 3 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, a^{3} \cosh\left(x\right)^{4} - 10 \, a^{2} b \cosh\left(x\right)^{3} - 3 \, a^{3} - 4 \, a b^{2} + 24 \, {\left(a^{2} b + b^{3}\right)} x \cosh\left(x\right) + 6 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} - 24 \, {\left({\left(a^{2} b + b^{3}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{2} + {\left(a^{2} b + b^{3}\right)} \sinh\left(x\right)^{3}\right)} \log\left(\frac{2 \, {\left(a \sinh\left(x\right) + b\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 3 \, {\left(2 \, a^{3} \cosh\left(x\right)^{5} - 5 \, a^{2} b \cosh\left(x\right)^{4} + 24 \, {\left(a^{2} b + b^{3}\right)} x \cosh\left(x\right)^{2} + 4 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)^{3} - a^{2} b - 2 \, {\left(3 \, a^{3} + 4 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left(a^{4} \cosh\left(x\right)^{3} + 3 \, a^{4} \cosh\left(x\right)^{2} \sinh\left(x\right) + 3 \, a^{4} \cosh\left(x\right) \sinh\left(x\right)^{2} + a^{4} \sinh\left(x\right)^{3}\right)}}"," ",0,"1/24*(a^3*cosh(x)^6 + a^3*sinh(x)^6 - 3*a^2*b*cosh(x)^5 + 3*(2*a^3*cosh(x) - a^2*b)*sinh(x)^5 + 24*(a^2*b + b^3)*x*cosh(x)^3 + 3*(3*a^3 + 4*a*b^2)*cosh(x)^4 + 3*(5*a^3*cosh(x)^2 - 5*a^2*b*cosh(x) + 3*a^3 + 4*a*b^2)*sinh(x)^4 - 3*a^2*b*cosh(x) + 2*(10*a^3*cosh(x)^3 - 15*a^2*b*cosh(x)^2 + 12*(a^2*b + b^3)*x + 6*(3*a^3 + 4*a*b^2)*cosh(x))*sinh(x)^3 - a^3 - 3*(3*a^3 + 4*a*b^2)*cosh(x)^2 + 3*(5*a^3*cosh(x)^4 - 10*a^2*b*cosh(x)^3 - 3*a^3 - 4*a*b^2 + 24*(a^2*b + b^3)*x*cosh(x) + 6*(3*a^3 + 4*a*b^2)*cosh(x)^2)*sinh(x)^2 - 24*((a^2*b + b^3)*cosh(x)^3 + 3*(a^2*b + b^3)*cosh(x)^2*sinh(x) + 3*(a^2*b + b^3)*cosh(x)*sinh(x)^2 + (a^2*b + b^3)*sinh(x)^3)*log(2*(a*sinh(x) + b)/(cosh(x) - sinh(x))) + 3*(2*a^3*cosh(x)^5 - 5*a^2*b*cosh(x)^4 + 24*(a^2*b + b^3)*x*cosh(x)^2 + 4*(3*a^3 + 4*a*b^2)*cosh(x)^3 - a^2*b - 2*(3*a^3 + 4*a*b^2)*cosh(x))*sinh(x))/(a^4*cosh(x)^3 + 3*a^4*cosh(x)^2*sinh(x) + 3*a^4*cosh(x)*sinh(x)^2 + a^4*sinh(x)^3)","B",0
95,1,304,0,0.763634," ","integrate(cosh(x)^2/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{a^{2} \cosh\left(x\right)^{4} + a^{2} \sinh\left(x\right)^{4} - 4 \, a b \cosh\left(x\right)^{3} + 4 \, {\left(a^{2} + 2 \, b^{2}\right)} x \cosh\left(x\right)^{2} + 4 \, {\left(a^{2} \cosh\left(x\right) - a b\right)} \sinh\left(x\right)^{3} - 4 \, a b \cosh\left(x\right) + 2 \, {\left(3 \, a^{2} \cosh\left(x\right)^{2} - 6 \, a b \cosh\left(x\right) + 2 \, {\left(a^{2} + 2 \, b^{2}\right)} x\right)} \sinh\left(x\right)^{2} + 8 \, {\left(b \cosh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) \sinh\left(x\right) + b \sinh\left(x\right)^{2}\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) - a}\right) - a^{2} + 4 \, {\left(a^{2} \cosh\left(x\right)^{3} - 3 \, a b \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} + 2 \, b^{2}\right)} x \cosh\left(x\right) - a b\right)} \sinh\left(x\right)}{8 \, {\left(a^{3} \cosh\left(x\right)^{2} + 2 \, a^{3} \cosh\left(x\right) \sinh\left(x\right) + a^{3} \sinh\left(x\right)^{2}\right)}}"," ",0,"1/8*(a^2*cosh(x)^4 + a^2*sinh(x)^4 - 4*a*b*cosh(x)^3 + 4*(a^2 + 2*b^2)*x*cosh(x)^2 + 4*(a^2*cosh(x) - a*b)*sinh(x)^3 - 4*a*b*cosh(x) + 2*(3*a^2*cosh(x)^2 - 6*a*b*cosh(x) + 2*(a^2 + 2*b^2)*x)*sinh(x)^2 + 8*(b*cosh(x)^2 + 2*b*cosh(x)*sinh(x) + b*sinh(x)^2)*sqrt(a^2 + b^2)*log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) - a)) - a^2 + 4*(a^2*cosh(x)^3 - 3*a*b*cosh(x)^2 + 2*(a^2 + 2*b^2)*x*cosh(x) - a*b)*sinh(x))/(a^3*cosh(x)^2 + 2*a^3*cosh(x)*sinh(x) + a^3*sinh(x)^2)","B",0
96,1,80,0,0.633659," ","integrate(cosh(x)/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{2 \, b x \cosh\left(x\right) + a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} - 2 \, {\left(b \cosh\left(x\right) + b \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(a \sinh\left(x\right) + b\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, {\left(b x + a \cosh\left(x\right)\right)} \sinh\left(x\right) - a}{2 \, {\left(a^{2} \cosh\left(x\right) + a^{2} \sinh\left(x\right)\right)}}"," ",0,"1/2*(2*b*x*cosh(x) + a*cosh(x)^2 + a*sinh(x)^2 - 2*(b*cosh(x) + b*sinh(x))*log(2*(a*sinh(x) + b)/(cosh(x) - sinh(x))) + 2*(b*x + a*cosh(x))*sinh(x) - a)/(a^2*cosh(x) + a^2*sinh(x))","B",0
97,1,57,0,0.565044," ","integrate(sech(x)/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{2 \, a \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - b \log\left(\frac{2 \, {\left(a \sinh\left(x\right) + b\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + b \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a^{2} + b^{2}}"," ",0,"(2*a*arctan(cosh(x) + sinh(x)) - b*log(2*(a*sinh(x) + b)/(cosh(x) - sinh(x))) + b*log(2*cosh(x)/(cosh(x) - sinh(x))))/(a^2 + b^2)","A",0
98,1,256,0,1.330510," ","integrate(sech(x)^2/(a+b*csch(x)),x, algorithm=""fricas"")","-\frac{2 \, a^{3} + 2 \, a b^{2} - {\left(a b \cosh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) \sinh\left(x\right) + a b \sinh\left(x\right)^{2} + a b\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) - a}\right) + 2 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right) + 2 \, {\left(a^{2} b + b^{3}\right)} \sinh\left(x\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{2}}"," ",0,"-(2*a^3 + 2*a*b^2 - (a*b*cosh(x)^2 + 2*a*b*cosh(x)*sinh(x) + a*b*sinh(x)^2 + a*b)*sqrt(a^2 + b^2)*log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) - a)) + 2*(a^2*b + b^3)*cosh(x) + 2*(a^2*b + b^3)*sinh(x))/(a^4 + 2*a^2*b^2 + b^4 + (a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2 + 2*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)*sinh(x) + (a^4 + 2*a^2*b^2 + b^4)*sinh(x)^2)","B",0
99,1,675,0,0.640210," ","integrate(sech(x)^3/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{{\left(a^{3} + a b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{3} + a b^{2}\right)} \sinh\left(x\right)^{3} - 2 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right)^{2} - {\left(2 \, a^{2} b + 2 \, b^{3} - 3 \, {\left(a^{3} + a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left({\left(a^{3} - a b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{3} - a b^{2}\right)} \sinh\left(x\right)^{4} + a^{3} - a b^{2} + 2 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{3} - a b^{2} + 3 \, {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{3} - a b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{3} - a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - {\left(a^{3} + a b^{2}\right)} \cosh\left(x\right) - {\left(a^{2} b \cosh\left(x\right)^{4} + 4 \, a^{2} b \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{2} b \sinh\left(x\right)^{4} + 2 \, a^{2} b \cosh\left(x\right)^{2} + a^{2} b + 2 \, {\left(3 \, a^{2} b \cosh\left(x\right)^{2} + a^{2} b\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{2} b \cosh\left(x\right)^{3} + a^{2} b \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(a \sinh\left(x\right) + b\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(a^{2} b \cosh\left(x\right)^{4} + 4 \, a^{2} b \cosh\left(x\right) \sinh\left(x\right)^{3} + a^{2} b \sinh\left(x\right)^{4} + 2 \, a^{2} b \cosh\left(x\right)^{2} + a^{2} b + 2 \, {\left(3 \, a^{2} b \cosh\left(x\right)^{2} + a^{2} b\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{2} b \cosh\left(x\right)^{3} + a^{2} b \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left(a^{3} + a b^{2} - 3 \, {\left(a^{3} + a b^{2}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{2} b + b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{4} + a^{4} + 2 \, a^{2} b^{2} + b^{4} + 2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4} + 3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"((a^3 + a*b^2)*cosh(x)^3 + (a^3 + a*b^2)*sinh(x)^3 - 2*(a^2*b + b^3)*cosh(x)^2 - (2*a^2*b + 2*b^3 - 3*(a^3 + a*b^2)*cosh(x))*sinh(x)^2 + ((a^3 - a*b^2)*cosh(x)^4 + 4*(a^3 - a*b^2)*cosh(x)*sinh(x)^3 + (a^3 - a*b^2)*sinh(x)^4 + a^3 - a*b^2 + 2*(a^3 - a*b^2)*cosh(x)^2 + 2*(a^3 - a*b^2 + 3*(a^3 - a*b^2)*cosh(x)^2)*sinh(x)^2 + 4*((a^3 - a*b^2)*cosh(x)^3 + (a^3 - a*b^2)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) - (a^3 + a*b^2)*cosh(x) - (a^2*b*cosh(x)^4 + 4*a^2*b*cosh(x)*sinh(x)^3 + a^2*b*sinh(x)^4 + 2*a^2*b*cosh(x)^2 + a^2*b + 2*(3*a^2*b*cosh(x)^2 + a^2*b)*sinh(x)^2 + 4*(a^2*b*cosh(x)^3 + a^2*b*cosh(x))*sinh(x))*log(2*(a*sinh(x) + b)/(cosh(x) - sinh(x))) + (a^2*b*cosh(x)^4 + 4*a^2*b*cosh(x)*sinh(x)^3 + a^2*b*sinh(x)^4 + 2*a^2*b*cosh(x)^2 + a^2*b + 2*(3*a^2*b*cosh(x)^2 + a^2*b)*sinh(x)^2 + 4*(a^2*b*cosh(x)^3 + a^2*b*cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) - (a^3 + a*b^2 - 3*(a^3 + a*b^2)*cosh(x)^2 + 4*(a^2*b + b^3)*cosh(x))*sinh(x))/((a^4 + 2*a^2*b^2 + b^4)*cosh(x)^4 + 4*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)*sinh(x)^3 + (a^4 + 2*a^2*b^2 + b^4)*sinh(x)^4 + a^4 + 2*a^2*b^2 + b^4 + 2*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2 + 2*(a^4 + 2*a^2*b^2 + b^4 + 3*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^2 + 4*((a^4 + 2*a^2*b^2 + b^4)*cosh(x)^3 + (a^4 + 2*a^2*b^2 + b^4)*cosh(x))*sinh(x))","B",0
100,1,1155,0,1.555149," ","integrate(sech(x)^4/(a+b*csch(x)),x, algorithm=""fricas"")","-\frac{6 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(a^{4} b + a^{2} b^{3}\right)} \sinh\left(x\right)^{5} + 4 \, a^{5} + 2 \, a^{3} b^{2} - 2 \, a b^{4} - 6 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{4} - 6 \, {\left(a^{3} b^{2} + a b^{4} - 5 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, a^{4} b + 7 \, a^{2} b^{3} + 2 \, b^{5}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(5 \, a^{4} b + 7 \, a^{2} b^{3} + 2 \, b^{5} + 15 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{2} - 6 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 12 \, {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)^{2} + 12 \, {\left(a^{5} + a^{3} b^{2} + 5 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{2} + {\left(5 \, a^{4} b + 7 \, a^{2} b^{3} + 2 \, b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} - 3 \, {\left(a^{3} b \cosh\left(x\right)^{6} + 6 \, a^{3} b \cosh\left(x\right) \sinh\left(x\right)^{5} + a^{3} b \sinh\left(x\right)^{6} + 3 \, a^{3} b \cosh\left(x\right)^{4} + 3 \, a^{3} b \cosh\left(x\right)^{2} + 3 \, {\left(5 \, a^{3} b \cosh\left(x\right)^{2} + a^{3} b\right)} \sinh\left(x\right)^{4} + a^{3} b + 4 \, {\left(5 \, a^{3} b \cosh\left(x\right)^{3} + 3 \, a^{3} b \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, a^{3} b \cosh\left(x\right)^{4} + 6 \, a^{3} b \cosh\left(x\right)^{2} + a^{3} b\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a^{3} b \cosh\left(x\right)^{5} + 2 \, a^{3} b \cosh\left(x\right)^{3} + a^{3} b \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) - a}\right) + 6 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right) + 6 \, {\left(a^{4} b + a^{2} b^{3} + 5 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{4} - 4 \, {\left(a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{3} + 2 \, {\left(5 \, a^{4} b + 7 \, a^{2} b^{3} + 2 \, b^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{5} + a^{3} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left({\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \sinh\left(x\right)^{6} + a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/3*(6*(a^4*b + a^2*b^3)*cosh(x)^5 + 6*(a^4*b + a^2*b^3)*sinh(x)^5 + 4*a^5 + 2*a^3*b^2 - 2*a*b^4 - 6*(a^3*b^2 + a*b^4)*cosh(x)^4 - 6*(a^3*b^2 + a*b^4 - 5*(a^4*b + a^2*b^3)*cosh(x))*sinh(x)^4 + 4*(5*a^4*b + 7*a^2*b^3 + 2*b^5)*cosh(x)^3 + 4*(5*a^4*b + 7*a^2*b^3 + 2*b^5 + 15*(a^4*b + a^2*b^3)*cosh(x)^2 - 6*(a^3*b^2 + a*b^4)*cosh(x))*sinh(x)^3 + 12*(a^5 + a^3*b^2)*cosh(x)^2 + 12*(a^5 + a^3*b^2 + 5*(a^4*b + a^2*b^3)*cosh(x)^3 - 3*(a^3*b^2 + a*b^4)*cosh(x)^2 + (5*a^4*b + 7*a^2*b^3 + 2*b^5)*cosh(x))*sinh(x)^2 - 3*(a^3*b*cosh(x)^6 + 6*a^3*b*cosh(x)*sinh(x)^5 + a^3*b*sinh(x)^6 + 3*a^3*b*cosh(x)^4 + 3*a^3*b*cosh(x)^2 + 3*(5*a^3*b*cosh(x)^2 + a^3*b)*sinh(x)^4 + a^3*b + 4*(5*a^3*b*cosh(x)^3 + 3*a^3*b*cosh(x))*sinh(x)^3 + 3*(5*a^3*b*cosh(x)^4 + 6*a^3*b*cosh(x)^2 + a^3*b)*sinh(x)^2 + 6*(a^3*b*cosh(x)^5 + 2*a^3*b*cosh(x)^3 + a^3*b*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) - a)) + 6*(a^4*b + a^2*b^3)*cosh(x) + 6*(a^4*b + a^2*b^3 + 5*(a^4*b + a^2*b^3)*cosh(x)^4 - 4*(a^3*b^2 + a*b^4)*cosh(x)^3 + 2*(5*a^4*b + 7*a^2*b^3 + 2*b^5)*cosh(x)^2 + 4*(a^5 + a^3*b^2)*cosh(x))*sinh(x))/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^6 + 6*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)*sinh(x)^5 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*sinh(x)^6 + a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^4 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^3 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x))*sinh(x)^3 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^4 + 6*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2)*sinh(x)^2 + 6*((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^5 + 2*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^3 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x))*sinh(x))","B",0
101,1,2778,0,1.578211," ","integrate(sech(x)^5/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{{\left(3 \, a^{5} + 2 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{7} + {\left(3 \, a^{5} + 2 \, a^{3} b^{2} - a b^{4}\right)} \sinh\left(x\right)^{7} - 8 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{6} - {\left(8 \, a^{4} b + 8 \, a^{2} b^{3} - 7 \, {\left(3 \, a^{5} + 2 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + {\left(11 \, a^{5} + 18 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{5} + {\left(11 \, a^{5} + 18 \, a^{3} b^{2} + 7 \, a b^{4} + 21 \, {\left(3 \, a^{5} + 2 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{2} - 48 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 16 \, {\left(2 \, a^{4} b + 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{4} - {\left(32 \, a^{4} b + 48 \, a^{2} b^{3} + 16 \, b^{5} - 35 \, {\left(3 \, a^{5} + 2 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{3} + 120 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{2} - 5 \, {\left(11 \, a^{5} + 18 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - {\left(11 \, a^{5} + 18 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{3} - {\left(11 \, a^{5} + 18 \, a^{3} b^{2} + 7 \, a b^{4} - 35 \, {\left(3 \, a^{5} + 2 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{4} + 160 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{3} - 10 \, {\left(11 \, a^{5} + 18 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 64 \, {\left(2 \, a^{4} b + 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 8 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{2} + {\left(21 \, {\left(3 \, a^{5} + 2 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{5} - 8 \, a^{4} b - 8 \, a^{2} b^{3} - 120 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(11 \, a^{5} + 18 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{3} - 96 \, {\left(2 \, a^{4} b + 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(11 \, a^{5} + 18 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left({\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4} + 7 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4} + 6 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(9 \, a^{5} - 18 \, a^{3} b^{2} - 3 \, a b^{4} + 35 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{6} + 3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4} + 15 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{5} - 6 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - {\left(3 \, a^{5} + 2 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right) - 4 \, {\left(a^{4} b \cosh\left(x\right)^{8} + 8 \, a^{4} b \cosh\left(x\right) \sinh\left(x\right)^{7} + a^{4} b \sinh\left(x\right)^{8} + 4 \, a^{4} b \cosh\left(x\right)^{6} + 6 \, a^{4} b \cosh\left(x\right)^{4} + 4 \, a^{4} b \cosh\left(x\right)^{2} + 4 \, {\left(7 \, a^{4} b \cosh\left(x\right)^{2} + a^{4} b\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, a^{4} b \cosh\left(x\right)^{3} + 3 \, a^{4} b \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + a^{4} b + 2 \, {\left(35 \, a^{4} b \cosh\left(x\right)^{4} + 30 \, a^{4} b \cosh\left(x\right)^{2} + 3 \, a^{4} b\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, a^{4} b \cosh\left(x\right)^{5} + 10 \, a^{4} b \cosh\left(x\right)^{3} + 3 \, a^{4} b \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, a^{4} b \cosh\left(x\right)^{6} + 15 \, a^{4} b \cosh\left(x\right)^{4} + 9 \, a^{4} b \cosh\left(x\right)^{2} + a^{4} b\right)} \sinh\left(x\right)^{2} + 8 \, {\left(a^{4} b \cosh\left(x\right)^{7} + 3 \, a^{4} b \cosh\left(x\right)^{5} + 3 \, a^{4} b \cosh\left(x\right)^{3} + a^{4} b \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(a \sinh\left(x\right) + b\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 4 \, {\left(a^{4} b \cosh\left(x\right)^{8} + 8 \, a^{4} b \cosh\left(x\right) \sinh\left(x\right)^{7} + a^{4} b \sinh\left(x\right)^{8} + 4 \, a^{4} b \cosh\left(x\right)^{6} + 6 \, a^{4} b \cosh\left(x\right)^{4} + 4 \, a^{4} b \cosh\left(x\right)^{2} + 4 \, {\left(7 \, a^{4} b \cosh\left(x\right)^{2} + a^{4} b\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, a^{4} b \cosh\left(x\right)^{3} + 3 \, a^{4} b \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + a^{4} b + 2 \, {\left(35 \, a^{4} b \cosh\left(x\right)^{4} + 30 \, a^{4} b \cosh\left(x\right)^{2} + 3 \, a^{4} b\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, a^{4} b \cosh\left(x\right)^{5} + 10 \, a^{4} b \cosh\left(x\right)^{3} + 3 \, a^{4} b \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, a^{4} b \cosh\left(x\right)^{6} + 15 \, a^{4} b \cosh\left(x\right)^{4} + 9 \, a^{4} b \cosh\left(x\right)^{2} + a^{4} b\right)} \sinh\left(x\right)^{2} + 8 \, {\left(a^{4} b \cosh\left(x\right)^{7} + 3 \, a^{4} b \cosh\left(x\right)^{5} + 3 \, a^{4} b \cosh\left(x\right)^{3} + a^{4} b \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(7 \, {\left(3 \, a^{5} + 2 \, a^{3} b^{2} - a b^{4}\right)} \cosh\left(x\right)^{6} - 48 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)^{5} - 3 \, a^{5} - 2 \, a^{3} b^{2} + a b^{4} + 5 \, {\left(11 \, a^{5} + 18 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{4} - 64 \, {\left(2 \, a^{4} b + 3 \, a^{2} b^{3} + b^{5}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(11 \, a^{5} + 18 \, a^{3} b^{2} + 7 \, a b^{4}\right)} \cosh\left(x\right)^{2} - 16 \, {\left(a^{4} b + a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{4 \, {\left({\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 7 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 8 \, {\left(7 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(3 \, a^{6} + 9 \, a^{4} b^{2} + 9 \, a^{2} b^{4} + 3 \, b^{6} + 35 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{6} + a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 15 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/4*((3*a^5 + 2*a^3*b^2 - a*b^4)*cosh(x)^7 + (3*a^5 + 2*a^3*b^2 - a*b^4)*sinh(x)^7 - 8*(a^4*b + a^2*b^3)*cosh(x)^6 - (8*a^4*b + 8*a^2*b^3 - 7*(3*a^5 + 2*a^3*b^2 - a*b^4)*cosh(x))*sinh(x)^6 + (11*a^5 + 18*a^3*b^2 + 7*a*b^4)*cosh(x)^5 + (11*a^5 + 18*a^3*b^2 + 7*a*b^4 + 21*(3*a^5 + 2*a^3*b^2 - a*b^4)*cosh(x)^2 - 48*(a^4*b + a^2*b^3)*cosh(x))*sinh(x)^5 - 16*(2*a^4*b + 3*a^2*b^3 + b^5)*cosh(x)^4 - (32*a^4*b + 48*a^2*b^3 + 16*b^5 - 35*(3*a^5 + 2*a^3*b^2 - a*b^4)*cosh(x)^3 + 120*(a^4*b + a^2*b^3)*cosh(x)^2 - 5*(11*a^5 + 18*a^3*b^2 + 7*a*b^4)*cosh(x))*sinh(x)^4 - (11*a^5 + 18*a^3*b^2 + 7*a*b^4)*cosh(x)^3 - (11*a^5 + 18*a^3*b^2 + 7*a*b^4 - 35*(3*a^5 + 2*a^3*b^2 - a*b^4)*cosh(x)^4 + 160*(a^4*b + a^2*b^3)*cosh(x)^3 - 10*(11*a^5 + 18*a^3*b^2 + 7*a*b^4)*cosh(x)^2 + 64*(2*a^4*b + 3*a^2*b^3 + b^5)*cosh(x))*sinh(x)^3 - 8*(a^4*b + a^2*b^3)*cosh(x)^2 + (21*(3*a^5 + 2*a^3*b^2 - a*b^4)*cosh(x)^5 - 8*a^4*b - 8*a^2*b^3 - 120*(a^4*b + a^2*b^3)*cosh(x)^4 + 10*(11*a^5 + 18*a^3*b^2 + 7*a*b^4)*cosh(x)^3 - 96*(2*a^4*b + 3*a^2*b^3 + b^5)*cosh(x)^2 - 3*(11*a^5 + 18*a^3*b^2 + 7*a*b^4)*cosh(x))*sinh(x)^2 + ((3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x)^8 + 8*(3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x)*sinh(x)^7 + (3*a^5 - 6*a^3*b^2 - a*b^4)*sinh(x)^8 + 4*(3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x)^6 + 4*(3*a^5 - 6*a^3*b^2 - a*b^4 + 7*(3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x)^2)*sinh(x)^6 + 8*(7*(3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x)^3 + 3*(3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x))*sinh(x)^5 + 3*a^5 - 6*a^3*b^2 - a*b^4 + 6*(3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x)^4 + 2*(9*a^5 - 18*a^3*b^2 - 3*a*b^4 + 35*(3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x)^4 + 30*(3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x)^2)*sinh(x)^4 + 8*(7*(3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x)^5 + 10*(3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x)^3 + 3*(3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x))*sinh(x)^3 + 4*(3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x)^2 + 4*(7*(3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x)^6 + 3*a^5 - 6*a^3*b^2 - a*b^4 + 15*(3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x)^4 + 9*(3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x)^2)*sinh(x)^2 + 8*((3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x)^7 + 3*(3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x)^5 + 3*(3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x)^3 + (3*a^5 - 6*a^3*b^2 - a*b^4)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) - (3*a^5 + 2*a^3*b^2 - a*b^4)*cosh(x) - 4*(a^4*b*cosh(x)^8 + 8*a^4*b*cosh(x)*sinh(x)^7 + a^4*b*sinh(x)^8 + 4*a^4*b*cosh(x)^6 + 6*a^4*b*cosh(x)^4 + 4*a^4*b*cosh(x)^2 + 4*(7*a^4*b*cosh(x)^2 + a^4*b)*sinh(x)^6 + 8*(7*a^4*b*cosh(x)^3 + 3*a^4*b*cosh(x))*sinh(x)^5 + a^4*b + 2*(35*a^4*b*cosh(x)^4 + 30*a^4*b*cosh(x)^2 + 3*a^4*b)*sinh(x)^4 + 8*(7*a^4*b*cosh(x)^5 + 10*a^4*b*cosh(x)^3 + 3*a^4*b*cosh(x))*sinh(x)^3 + 4*(7*a^4*b*cosh(x)^6 + 15*a^4*b*cosh(x)^4 + 9*a^4*b*cosh(x)^2 + a^4*b)*sinh(x)^2 + 8*(a^4*b*cosh(x)^7 + 3*a^4*b*cosh(x)^5 + 3*a^4*b*cosh(x)^3 + a^4*b*cosh(x))*sinh(x))*log(2*(a*sinh(x) + b)/(cosh(x) - sinh(x))) + 4*(a^4*b*cosh(x)^8 + 8*a^4*b*cosh(x)*sinh(x)^7 + a^4*b*sinh(x)^8 + 4*a^4*b*cosh(x)^6 + 6*a^4*b*cosh(x)^4 + 4*a^4*b*cosh(x)^2 + 4*(7*a^4*b*cosh(x)^2 + a^4*b)*sinh(x)^6 + 8*(7*a^4*b*cosh(x)^3 + 3*a^4*b*cosh(x))*sinh(x)^5 + a^4*b + 2*(35*a^4*b*cosh(x)^4 + 30*a^4*b*cosh(x)^2 + 3*a^4*b)*sinh(x)^4 + 8*(7*a^4*b*cosh(x)^5 + 10*a^4*b*cosh(x)^3 + 3*a^4*b*cosh(x))*sinh(x)^3 + 4*(7*a^4*b*cosh(x)^6 + 15*a^4*b*cosh(x)^4 + 9*a^4*b*cosh(x)^2 + a^4*b)*sinh(x)^2 + 8*(a^4*b*cosh(x)^7 + 3*a^4*b*cosh(x)^5 + 3*a^4*b*cosh(x)^3 + a^4*b*cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) + (7*(3*a^5 + 2*a^3*b^2 - a*b^4)*cosh(x)^6 - 48*(a^4*b + a^2*b^3)*cosh(x)^5 - 3*a^5 - 2*a^3*b^2 + a*b^4 + 5*(11*a^5 + 18*a^3*b^2 + 7*a*b^4)*cosh(x)^4 - 64*(2*a^4*b + 3*a^2*b^3 + b^5)*cosh(x)^3 - 3*(11*a^5 + 18*a^3*b^2 + 7*a*b^4)*cosh(x)^2 - 16*(a^4*b + a^2*b^3)*cosh(x))*sinh(x))/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^8 + 8*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)*sinh(x)^7 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*sinh(x)^8 + 4*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^6 + 4*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 7*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2)*sinh(x)^6 + a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 8*(7*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^3 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x))*sinh(x)^5 + 6*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^4 + 2*(3*a^6 + 9*a^4*b^2 + 9*a^2*b^4 + 3*b^6 + 35*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^4 + 30*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2)*sinh(x)^4 + 8*(7*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^5 + 10*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^3 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x))*sinh(x)^3 + 4*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2 + 4*(7*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^6 + a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 15*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^4 + 9*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2)*sinh(x)^2 + 8*((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^7 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^5 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^3 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x))*sinh(x))","B",0
102,1,299,0,1.371977," ","integrate(tanh(x)^5/(I+csch(x)),x, algorithm=""fricas"")","\frac{48 i \, x e^{\left(10 \, x\right)} + 6 \, {\left(16 \, x - 11\right)} e^{\left(9 \, x\right)} + {\left(144 i \, x - 156 i\right)} e^{\left(8 \, x\right)} + 16 \, {\left(24 \, x - 23\right)} e^{\left(7 \, x\right)} + {\left(96 i \, x + 4 i\right)} e^{\left(6 \, x\right)} + 36 \, {\left(16 \, x - 15\right)} e^{\left(5 \, x\right)} + {\left(-96 i \, x - 4 i\right)} e^{\left(4 \, x\right)} + 16 \, {\left(24 \, x - 23\right)} e^{\left(3 \, x\right)} + {\left(-144 i \, x + 156 i\right)} e^{\left(2 \, x\right)} + 6 \, {\left(16 \, x - 11\right)} e^{x} + {\left(-33 i \, e^{\left(10 \, x\right)} - 66 \, e^{\left(9 \, x\right)} - 99 i \, e^{\left(8 \, x\right)} - 264 \, e^{\left(7 \, x\right)} - 66 i \, e^{\left(6 \, x\right)} - 396 \, e^{\left(5 \, x\right)} + 66 i \, e^{\left(4 \, x\right)} - 264 \, e^{\left(3 \, x\right)} + 99 i \, e^{\left(2 \, x\right)} - 66 \, e^{x} + 33 i\right)} \log\left(e^{x} + i\right) + {\left(-63 i \, e^{\left(10 \, x\right)} - 126 \, e^{\left(9 \, x\right)} - 189 i \, e^{\left(8 \, x\right)} - 504 \, e^{\left(7 \, x\right)} - 126 i \, e^{\left(6 \, x\right)} - 756 \, e^{\left(5 \, x\right)} + 126 i \, e^{\left(4 \, x\right)} - 504 \, e^{\left(3 \, x\right)} + 189 i \, e^{\left(2 \, x\right)} - 126 \, e^{x} + 63 i\right)} \log\left(e^{x} - i\right) - 48 i \, x}{48 \, e^{\left(10 \, x\right)} - 96 i \, e^{\left(9 \, x\right)} + 144 \, e^{\left(8 \, x\right)} - 384 i \, e^{\left(7 \, x\right)} + 96 \, e^{\left(6 \, x\right)} - 576 i \, e^{\left(5 \, x\right)} - 96 \, e^{\left(4 \, x\right)} - 384 i \, e^{\left(3 \, x\right)} - 144 \, e^{\left(2 \, x\right)} - 96 i \, e^{x} - 48}"," ",0,"(48*I*x*e^(10*x) + 6*(16*x - 11)*e^(9*x) + (144*I*x - 156*I)*e^(8*x) + 16*(24*x - 23)*e^(7*x) + (96*I*x + 4*I)*e^(6*x) + 36*(16*x - 15)*e^(5*x) + (-96*I*x - 4*I)*e^(4*x) + 16*(24*x - 23)*e^(3*x) + (-144*I*x + 156*I)*e^(2*x) + 6*(16*x - 11)*e^x + (-33*I*e^(10*x) - 66*e^(9*x) - 99*I*e^(8*x) - 264*e^(7*x) - 66*I*e^(6*x) - 396*e^(5*x) + 66*I*e^(4*x) - 264*e^(3*x) + 99*I*e^(2*x) - 66*e^x + 33*I)*log(e^x + I) + (-63*I*e^(10*x) - 126*e^(9*x) - 189*I*e^(8*x) - 504*e^(7*x) - 126*I*e^(6*x) - 756*e^(5*x) + 126*I*e^(4*x) - 504*e^(3*x) + 189*I*e^(2*x) - 126*e^x + 63*I)*log(e^x - I) - 48*I*x)/(48*e^(10*x) - 96*I*e^(9*x) + 144*e^(8*x) - 384*I*e^(7*x) + 96*e^(6*x) - 576*I*e^(5*x) - 96*e^(4*x) - 384*I*e^(3*x) - 144*e^(2*x) - 96*I*e^x - 48)","B",0
103,1,123,0,1.016986," ","integrate(tanh(x)^4/(I+csch(x)),x, algorithm=""fricas"")","\frac{-15 i \, x e^{\left(8 \, x\right)} - 30 \, {\left(x + 1\right)} e^{\left(7 \, x\right)} + {\left(-30 i \, x - 30 i\right)} e^{\left(6 \, x\right)} - 10 \, {\left(9 \, x + 13\right)} e^{\left(5 \, x\right)} - 2 \, {\left(45 \, x + 73\right)} e^{\left(3 \, x\right)} + {\left(30 i \, x + 62 i\right)} e^{\left(2 \, x\right)} - 2 \, {\left(15 \, x + 31\right)} e^{x} + 15 i \, x + 50 i \, e^{\left(4 \, x\right)} + 46 i}{15 \, e^{\left(8 \, x\right)} - 30 i \, e^{\left(7 \, x\right)} + 30 \, e^{\left(6 \, x\right)} - 90 i \, e^{\left(5 \, x\right)} - 90 i \, e^{\left(3 \, x\right)} - 30 \, e^{\left(2 \, x\right)} - 30 i \, e^{x} - 15}"," ",0,"(-15*I*x*e^(8*x) - 30*(x + 1)*e^(7*x) + (-30*I*x - 30*I)*e^(6*x) - 10*(9*x + 13)*e^(5*x) - 2*(45*x + 73)*e^(3*x) + (30*I*x + 62*I)*e^(2*x) - 2*(15*x + 31)*e^x + 15*I*x + 50*I*e^(4*x) + 46*I)/(15*e^(8*x) - 30*I*e^(7*x) + 30*e^(6*x) - 90*I*e^(5*x) - 90*I*e^(3*x) - 30*e^(2*x) - 30*I*e^x - 15)","B",0
104,1,185,0,1.974302," ","integrate(tanh(x)^3/(I+csch(x)),x, algorithm=""fricas"")","\frac{8 i \, x e^{\left(6 \, x\right)} + 2 \, {\left(8 \, x - 5\right)} e^{\left(5 \, x\right)} + {\left(8 i \, x - 12 i\right)} e^{\left(4 \, x\right)} + 4 \, {\left(8 \, x - 7\right)} e^{\left(3 \, x\right)} + {\left(-8 i \, x + 12 i\right)} e^{\left(2 \, x\right)} + 2 \, {\left(8 \, x - 5\right)} e^{x} + {\left(-5 i \, e^{\left(6 \, x\right)} - 10 \, e^{\left(5 \, x\right)} - 5 i \, e^{\left(4 \, x\right)} - 20 \, e^{\left(3 \, x\right)} + 5 i \, e^{\left(2 \, x\right)} - 10 \, e^{x} + 5 i\right)} \log\left(e^{x} + i\right) + {\left(-11 i \, e^{\left(6 \, x\right)} - 22 \, e^{\left(5 \, x\right)} - 11 i \, e^{\left(4 \, x\right)} - 44 \, e^{\left(3 \, x\right)} + 11 i \, e^{\left(2 \, x\right)} - 22 \, e^{x} + 11 i\right)} \log\left(e^{x} - i\right) - 8 i \, x}{8 \, e^{\left(6 \, x\right)} - 16 i \, e^{\left(5 \, x\right)} + 8 \, e^{\left(4 \, x\right)} - 32 i \, e^{\left(3 \, x\right)} - 8 \, e^{\left(2 \, x\right)} - 16 i \, e^{x} - 8}"," ",0,"(8*I*x*e^(6*x) + 2*(8*x - 5)*e^(5*x) + (8*I*x - 12*I)*e^(4*x) + 4*(8*x - 7)*e^(3*x) + (-8*I*x + 12*I)*e^(2*x) + 2*(8*x - 5)*e^x + (-5*I*e^(6*x) - 10*e^(5*x) - 5*I*e^(4*x) - 20*e^(3*x) + 5*I*e^(2*x) - 10*e^x + 5*I)*log(e^x + I) + (-11*I*e^(6*x) - 22*e^(5*x) - 11*I*e^(4*x) - 44*e^(3*x) + 11*I*e^(2*x) - 22*e^x + 11*I)*log(e^x - I) - 8*I*x)/(8*e^(6*x) - 16*I*e^(5*x) + 8*e^(4*x) - 32*I*e^(3*x) - 8*e^(2*x) - 16*I*e^x - 8)","B",0
105,1,51,0,1.457801," ","integrate(tanh(x)^2/(I+csch(x)),x, algorithm=""fricas"")","\frac{-3 i \, x e^{\left(4 \, x\right)} - 6 \, {\left(x + 1\right)} e^{\left(3 \, x\right)} - 2 \, {\left(3 \, x + 5\right)} e^{x} + 3 i \, x + 8 i}{3 \, e^{\left(4 \, x\right)} - 6 i \, e^{\left(3 \, x\right)} - 6 i \, e^{x} - 3}"," ",0,"(-3*I*x*e^(4*x) - 6*(x + 1)*e^(3*x) - 2*(3*x + 5)*e^x + 3*I*x + 8*I)/(3*e^(4*x) - 6*I*e^(3*x) - 6*I*e^x - 3)","B",0
106,1,71,0,1.217316," ","integrate(tanh(x)/(I+csch(x)),x, algorithm=""fricas"")","\frac{2 i \, x e^{\left(2 \, x\right)} + 2 \, {\left(2 \, x - 1\right)} e^{x} + {\left(-i \, e^{\left(2 \, x\right)} - 2 \, e^{x} + i\right)} \log\left(e^{x} + i\right) + {\left(-3 i \, e^{\left(2 \, x\right)} - 6 \, e^{x} + 3 i\right)} \log\left(e^{x} - i\right) - 2 i \, x}{2 \, e^{\left(2 \, x\right)} - 4 i \, e^{x} - 2}"," ",0,"(2*I*x*e^(2*x) + 2*(2*x - 1)*e^x + (-I*e^(2*x) - 2*e^x + I)*log(e^x + I) + (-3*I*e^(2*x) - 6*e^x + 3*I)*log(e^x - I) - 2*I*x)/(2*e^(2*x) - 4*I*e^x - 2)","B",0
107,1,11,0,1.307067," ","integrate(coth(x)/(I+csch(x)),x, algorithm=""fricas"")","i \, x - 2 i \, \log\left(e^{x} - i\right)"," ",0,"I*x - 2*I*log(e^x - I)","A",0
108,1,16,0,1.969971," ","integrate(coth(x)^2/(I+csch(x)),x, algorithm=""fricas"")","-i \, x - \log\left(e^{x} + 1\right) + \log\left(e^{x} - 1\right)"," ",0,"-I*x - log(e^x + 1) + log(e^x - 1)","A",0
109,1,40,0,0.732182," ","integrate(coth(x)^3/(I+csch(x)),x, algorithm=""fricas"")","\frac{i \, x e^{\left(2 \, x\right)} + {\left(-i \, e^{\left(2 \, x\right)} + i\right)} \log\left(e^{\left(2 \, x\right)} - 1\right) - i \, x - 2 \, e^{x}}{e^{\left(2 \, x\right)} - 1}"," ",0,"(I*x*e^(2*x) + (-I*e^(2*x) + I)*log(e^(2*x) - 1) - I*x - 2*e^x)/(e^(2*x) - 1)","B",0
110,1,85,0,1.062498," ","integrate(coth(x)^4/(I+csch(x)),x, algorithm=""fricas"")","\frac{-2 i \, x e^{\left(4 \, x\right)} + {\left(4 i \, x + 4 i\right)} e^{\left(2 \, x\right)} - {\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1\right)} \log\left(e^{x} + 1\right) + {\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1\right)} \log\left(e^{x} - 1\right) - 2 i \, x - 2 \, e^{\left(3 \, x\right)} - 2 \, e^{x} - 4 i}{2 \, {\left(e^{\left(4 \, x\right)} - 2 \, e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"1/2*(-2*I*x*e^(4*x) + (4*I*x + 4*I)*e^(2*x) - (e^(4*x) - 2*e^(2*x) + 1)*log(e^x + 1) + (e^(4*x) - 2*e^(2*x) + 1)*log(e^x - 1) - 2*I*x - 2*e^(3*x) - 2*e^x - 4*I)/(e^(4*x) - 2*e^(2*x) + 1)","B",0
111,1,97,0,2.108157," ","integrate(coth(x)^5/(I+csch(x)),x, algorithm=""fricas"")","\frac{3 i \, x e^{\left(6 \, x\right)} + {\left(-9 i \, x + 6 i\right)} e^{\left(4 \, x\right)} + {\left(9 i \, x - 6 i\right)} e^{\left(2 \, x\right)} + {\left(-3 i \, e^{\left(6 \, x\right)} + 9 i \, e^{\left(4 \, x\right)} - 9 i \, e^{\left(2 \, x\right)} + 3 i\right)} \log\left(e^{\left(2 \, x\right)} - 1\right) - 3 i \, x - 6 \, e^{\left(5 \, x\right)} + 4 \, e^{\left(3 \, x\right)} - 6 \, e^{x}}{3 \, {\left(e^{\left(6 \, x\right)} - 3 \, e^{\left(4 \, x\right)} + 3 \, e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"1/3*(3*I*x*e^(6*x) + (-9*I*x + 6*I)*e^(4*x) + (9*I*x - 6*I)*e^(2*x) + (-3*I*e^(6*x) + 9*I*e^(4*x) - 9*I*e^(2*x) + 3*I)*log(e^(2*x) - 1) - 3*I*x - 6*e^(5*x) + 4*e^(3*x) - 6*e^x)/(e^(6*x) - 3*e^(4*x) + 3*e^(2*x) - 1)","B",0
112,1,154,0,0.571749," ","integrate(coth(x)^6/(I+csch(x)),x, algorithm=""fricas"")","\frac{-24 i \, x e^{\left(8 \, x\right)} + {\left(96 i \, x + 96 i\right)} e^{\left(6 \, x\right)} + {\left(-144 i \, x - 192 i\right)} e^{\left(4 \, x\right)} + {\left(96 i \, x + 160 i\right)} e^{\left(2 \, x\right)} - 9 \, {\left(e^{\left(8 \, x\right)} - 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} - 4 \, e^{\left(2 \, x\right)} + 1\right)} \log\left(e^{x} + 1\right) + 9 \, {\left(e^{\left(8 \, x\right)} - 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} - 4 \, e^{\left(2 \, x\right)} + 1\right)} \log\left(e^{x} - 1\right) - 24 i \, x - 30 \, e^{\left(7 \, x\right)} - 18 \, e^{\left(5 \, x\right)} - 18 \, e^{\left(3 \, x\right)} - 30 \, e^{x} - 64 i}{24 \, {\left(e^{\left(8 \, x\right)} - 4 \, e^{\left(6 \, x\right)} + 6 \, e^{\left(4 \, x\right)} - 4 \, e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"1/24*(-24*I*x*e^(8*x) + (96*I*x + 96*I)*e^(6*x) + (-144*I*x - 192*I)*e^(4*x) + (96*I*x + 160*I)*e^(2*x) - 9*(e^(8*x) - 4*e^(6*x) + 6*e^(4*x) - 4*e^(2*x) + 1)*log(e^x + 1) + 9*(e^(8*x) - 4*e^(6*x) + 6*e^(4*x) - 4*e^(2*x) + 1)*log(e^x - 1) - 24*I*x - 30*e^(7*x) - 18*e^(5*x) - 18*e^(3*x) - 30*e^x - 64*I)/(e^(8*x) - 4*e^(6*x) + 6*e^(4*x) - 4*e^(2*x) + 1)","B",0
113,1,4025,0,3.045052," ","integrate(tanh(x)^5/(a+b*csch(x)),x, algorithm=""fricas"")","-\frac{4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)^{8} + 4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \sinh\left(x\right)^{8} - {\left(5 \, a^{5} b + 14 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)^{7} - {\left(5 \, a^{5} b + 14 \, a^{3} b^{3} + 9 \, a b^{5} - 32 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 8 \, {\left(2 \, a^{6} + 5 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - 2 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)^{6} - {\left(16 \, a^{6} + 40 \, a^{4} b^{2} + 24 \, a^{2} b^{4} - 112 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)^{2} - 16 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x + 7 \, {\left(5 \, a^{5} b + 14 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + {\left(3 \, a^{5} b + 2 \, a^{3} b^{3} - a b^{5}\right)} \cosh\left(x\right)^{5} + {\left(3 \, a^{5} b + 2 \, a^{3} b^{3} - a b^{5} + 224 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)^{3} - 21 \, {\left(5 \, a^{5} b + 14 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)^{2} - 48 \, {\left(2 \, a^{6} + 5 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - 2 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 8 \, {\left(2 \, a^{6} + 6 \, a^{4} b^{2} + 4 \, a^{2} b^{4} - 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)^{4} - {\left(16 \, a^{6} + 48 \, a^{4} b^{2} + 32 \, a^{2} b^{4} - 280 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)^{4} + 35 \, {\left(5 \, a^{5} b + 14 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 120 \, {\left(2 \, a^{6} + 5 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - 2 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)^{2} - 24 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x - 5 \, {\left(3 \, a^{5} b + 2 \, a^{3} b^{3} - a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - {\left(3 \, a^{5} b + 2 \, a^{3} b^{3} - a b^{5}\right)} \cosh\left(x\right)^{3} + {\left(224 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)^{5} - 3 \, a^{5} b - 2 \, a^{3} b^{3} + a b^{5} - 35 \, {\left(5 \, a^{5} b + 14 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)^{4} - 160 \, {\left(2 \, a^{6} + 5 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - 2 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)^{3} + 10 \, {\left(3 \, a^{5} b + 2 \, a^{3} b^{3} - a b^{5}\right)} \cosh\left(x\right)^{2} - 32 \, {\left(2 \, a^{6} + 6 \, a^{4} b^{2} + 4 \, a^{2} b^{4} - 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 8 \, {\left(2 \, a^{6} + 5 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - 2 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)^{2} + {\left(112 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)^{6} - 16 \, a^{6} - 40 \, a^{4} b^{2} - 24 \, a^{2} b^{4} - 21 \, {\left(5 \, a^{5} b + 14 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)^{5} - 120 \, {\left(2 \, a^{6} + 5 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - 2 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)^{4} + 10 \, {\left(3 \, a^{5} b + 2 \, a^{3} b^{3} - a b^{5}\right)} \cosh\left(x\right)^{3} - 48 \, {\left(2 \, a^{6} + 6 \, a^{4} b^{2} + 4 \, a^{2} b^{4} - 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)^{2} + 16 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x - 3 \, {\left(3 \, a^{5} b + 2 \, a^{3} b^{3} - a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x + {\left({\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5} + 7 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5} + 8 \, {\left(7 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(9 \, a^{5} b + 30 \, a^{3} b^{3} + 45 \, a b^{5} + 35 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)^{6} + 3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5} + 15 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)^{3} + {\left(3 \, a^{5} b + 10 \, a^{3} b^{3} + 15 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + {\left(5 \, a^{5} b + 14 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right) - 4 \, {\left(b^{6} \cosh\left(x\right)^{8} + 8 \, b^{6} \cosh\left(x\right) \sinh\left(x\right)^{7} + b^{6} \sinh\left(x\right)^{8} + 4 \, b^{6} \cosh\left(x\right)^{6} + 6 \, b^{6} \cosh\left(x\right)^{4} + 4 \, b^{6} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{6} + b^{6} + 8 \, {\left(7 \, b^{6} \cosh\left(x\right)^{3} + 3 \, b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(35 \, b^{6} \cosh\left(x\right)^{4} + 30 \, b^{6} \cosh\left(x\right)^{2} + 3 \, b^{6}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, b^{6} \cosh\left(x\right)^{5} + 10 \, b^{6} \cosh\left(x\right)^{3} + 3 \, b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, b^{6} \cosh\left(x\right)^{6} + 15 \, b^{6} \cosh\left(x\right)^{4} + 9 \, b^{6} \cosh\left(x\right)^{2} + b^{6}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(b^{6} \cosh\left(x\right)^{7} + 3 \, b^{6} \cosh\left(x\right)^{5} + 3 \, b^{6} \cosh\left(x\right)^{3} + b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(a \sinh\left(x\right) + b\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - 4 \, {\left({\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \sinh\left(x\right)^{8} + 4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + 7 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + 8 \, {\left(7 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(3 \, a^{6} + 9 \, a^{4} b^{2} + 9 \, a^{2} b^{4} + 35 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{6} + a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + 15 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(32 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)^{7} - 7 \, {\left(5 \, a^{5} b + 14 \, a^{3} b^{3} + 9 \, a b^{5}\right)} \cosh\left(x\right)^{6} + 5 \, a^{5} b + 14 \, a^{3} b^{3} + 9 \, a b^{5} - 48 \, {\left(2 \, a^{6} + 5 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - 2 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)^{5} + 5 \, {\left(3 \, a^{5} b + 2 \, a^{3} b^{3} - a b^{5}\right)} \cosh\left(x\right)^{4} - 32 \, {\left(2 \, a^{6} + 6 \, a^{4} b^{2} + 4 \, a^{2} b^{4} - 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)^{3} - 3 \, {\left(3 \, a^{5} b + 2 \, a^{3} b^{3} - a b^{5}\right)} \cosh\left(x\right)^{2} - 16 \, {\left(2 \, a^{6} + 5 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - 2 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{4 \, {\left({\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \sinh\left(x\right)^{8} + a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6} + 4 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{6} + 4 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6} + 7 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(3 \, a^{7} + 9 \, a^{5} b^{2} + 9 \, a^{3} b^{4} + 3 \, a b^{6} + 35 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{5} + 10 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6} + 7 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{6} + 15 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{7} + 3 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{3} + {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/4*(4*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x)^8 + 4*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*sinh(x)^8 - (5*a^5*b + 14*a^3*b^3 + 9*a*b^5)*cosh(x)^7 - (5*a^5*b + 14*a^3*b^3 + 9*a*b^5 - 32*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x))*sinh(x)^7 - 8*(2*a^6 + 5*a^4*b^2 + 3*a^2*b^4 - 2*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x)^6 - (16*a^6 + 40*a^4*b^2 + 24*a^2*b^4 - 112*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x)^2 - 16*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x + 7*(5*a^5*b + 14*a^3*b^3 + 9*a*b^5)*cosh(x))*sinh(x)^6 + (3*a^5*b + 2*a^3*b^3 - a*b^5)*cosh(x)^5 + (3*a^5*b + 2*a^3*b^3 - a*b^5 + 224*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x)^3 - 21*(5*a^5*b + 14*a^3*b^3 + 9*a*b^5)*cosh(x)^2 - 48*(2*a^6 + 5*a^4*b^2 + 3*a^2*b^4 - 2*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x))*sinh(x)^5 - 8*(2*a^6 + 6*a^4*b^2 + 4*a^2*b^4 - 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x)^4 - (16*a^6 + 48*a^4*b^2 + 32*a^2*b^4 - 280*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x)^4 + 35*(5*a^5*b + 14*a^3*b^3 + 9*a*b^5)*cosh(x)^3 + 120*(2*a^6 + 5*a^4*b^2 + 3*a^2*b^4 - 2*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x)^2 - 24*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x - 5*(3*a^5*b + 2*a^3*b^3 - a*b^5)*cosh(x))*sinh(x)^4 - (3*a^5*b + 2*a^3*b^3 - a*b^5)*cosh(x)^3 + (224*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x)^5 - 3*a^5*b - 2*a^3*b^3 + a*b^5 - 35*(5*a^5*b + 14*a^3*b^3 + 9*a*b^5)*cosh(x)^4 - 160*(2*a^6 + 5*a^4*b^2 + 3*a^2*b^4 - 2*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x)^3 + 10*(3*a^5*b + 2*a^3*b^3 - a*b^5)*cosh(x)^2 - 32*(2*a^6 + 6*a^4*b^2 + 4*a^2*b^4 - 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x))*sinh(x)^3 - 8*(2*a^6 + 5*a^4*b^2 + 3*a^2*b^4 - 2*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x)^2 + (112*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x)^6 - 16*a^6 - 40*a^4*b^2 - 24*a^2*b^4 - 21*(5*a^5*b + 14*a^3*b^3 + 9*a*b^5)*cosh(x)^5 - 120*(2*a^6 + 5*a^4*b^2 + 3*a^2*b^4 - 2*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x)^4 + 10*(3*a^5*b + 2*a^3*b^3 - a*b^5)*cosh(x)^3 - 48*(2*a^6 + 6*a^4*b^2 + 4*a^2*b^4 - 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x)^2 + 16*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x - 3*(3*a^5*b + 2*a^3*b^3 - a*b^5)*cosh(x))*sinh(x)^2 + 4*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x + ((3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x)^8 + 8*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x)*sinh(x)^7 + (3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*sinh(x)^8 + 4*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x)^6 + 4*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5 + 7*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x)^2)*sinh(x)^6 + 3*a^5*b + 10*a^3*b^3 + 15*a*b^5 + 8*(7*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x)^3 + 3*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x))*sinh(x)^5 + 6*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x)^4 + 2*(9*a^5*b + 30*a^3*b^3 + 45*a*b^5 + 35*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x)^4 + 30*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x)^2)*sinh(x)^4 + 8*(7*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x)^5 + 10*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x)^3 + 3*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x))*sinh(x)^3 + 4*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x)^2 + 4*(7*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x)^6 + 3*a^5*b + 10*a^3*b^3 + 15*a*b^5 + 15*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x)^4 + 9*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x)^2)*sinh(x)^2 + 8*((3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x)^7 + 3*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x)^5 + 3*(3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x)^3 + (3*a^5*b + 10*a^3*b^3 + 15*a*b^5)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) + (5*a^5*b + 14*a^3*b^3 + 9*a*b^5)*cosh(x) - 4*(b^6*cosh(x)^8 + 8*b^6*cosh(x)*sinh(x)^7 + b^6*sinh(x)^8 + 4*b^6*cosh(x)^6 + 6*b^6*cosh(x)^4 + 4*b^6*cosh(x)^2 + 4*(7*b^6*cosh(x)^2 + b^6)*sinh(x)^6 + b^6 + 8*(7*b^6*cosh(x)^3 + 3*b^6*cosh(x))*sinh(x)^5 + 2*(35*b^6*cosh(x)^4 + 30*b^6*cosh(x)^2 + 3*b^6)*sinh(x)^4 + 8*(7*b^6*cosh(x)^5 + 10*b^6*cosh(x)^3 + 3*b^6*cosh(x))*sinh(x)^3 + 4*(7*b^6*cosh(x)^6 + 15*b^6*cosh(x)^4 + 9*b^6*cosh(x)^2 + b^6)*sinh(x)^2 + 8*(b^6*cosh(x)^7 + 3*b^6*cosh(x)^5 + 3*b^6*cosh(x)^3 + b^6*cosh(x))*sinh(x))*log(2*(a*sinh(x) + b)/(cosh(x) - sinh(x))) - 4*((a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^8 + 8*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)*sinh(x)^7 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4)*sinh(x)^8 + 4*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^6 + 4*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + 7*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^2)*sinh(x)^6 + a^6 + 3*a^4*b^2 + 3*a^2*b^4 + 8*(7*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^3 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x))*sinh(x)^5 + 6*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^4 + 2*(3*a^6 + 9*a^4*b^2 + 9*a^2*b^4 + 35*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^4 + 30*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^2)*sinh(x)^4 + 8*(7*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^5 + 10*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^3 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x))*sinh(x)^3 + 4*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^2 + 4*(7*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^6 + a^6 + 3*a^4*b^2 + 3*a^2*b^4 + 15*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^4 + 9*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^2)*sinh(x)^2 + 8*((a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^7 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^5 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^3 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) + (32*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x)^7 - 7*(5*a^5*b + 14*a^3*b^3 + 9*a*b^5)*cosh(x)^6 + 5*a^5*b + 14*a^3*b^3 + 9*a*b^5 - 48*(2*a^6 + 5*a^4*b^2 + 3*a^2*b^4 - 2*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x)^5 + 5*(3*a^5*b + 2*a^3*b^3 - a*b^5)*cosh(x)^4 - 32*(2*a^6 + 6*a^4*b^2 + 4*a^2*b^4 - 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x)^3 - 3*(3*a^5*b + 2*a^3*b^3 - a*b^5)*cosh(x)^2 - 16*(2*a^6 + 5*a^4*b^2 + 3*a^2*b^4 - 2*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x))*sinh(x))/((a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^8 + 8*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)*sinh(x)^7 + (a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*sinh(x)^8 + a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6 + 4*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^6 + 4*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6 + 7*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^2)*sinh(x)^6 + 8*(7*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^3 + 3*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x))*sinh(x)^5 + 6*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^4 + 2*(3*a^7 + 9*a^5*b^2 + 9*a^3*b^4 + 3*a*b^6 + 35*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^4 + 30*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^2)*sinh(x)^4 + 8*(7*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^5 + 10*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^3 + 3*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x))*sinh(x)^3 + 4*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^2 + 4*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6 + 7*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^6 + 15*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^4 + 9*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^2)*sinh(x)^2 + 8*((a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^7 + 3*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^5 + 3*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^3 + (a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x))*sinh(x))","B",0
114,1,1746,0,0.636929," ","integrate(tanh(x)^4/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)^{6} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \sinh\left(x\right)^{6} + 8 \, a^{6} + 22 \, a^{4} b^{2} + 14 \, a^{2} b^{4} + 6 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 2 \, a b^{5}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 2 \, a b^{5} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 3 \, {\left(4 \, a^{6} + 10 \, a^{4} b^{2} + 6 \, a^{2} b^{4} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)^{4} + 3 \, {\left(4 \, a^{6} + 10 \, a^{4} b^{2} + 6 \, a^{2} b^{4} + 15 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x + 10 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 2 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 4 \, {\left(a^{5} b + 5 \, a^{3} b^{3} + 4 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(a^{5} b + 5 \, a^{3} b^{3} + 4 \, a b^{5} + 15 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)^{3} + 15 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 2 \, a b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(4 \, a^{6} + 10 \, a^{4} b^{2} + 6 \, a^{2} b^{4} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(4 \, a^{6} + 12 \, a^{4} b^{2} + 8 \, a^{2} b^{4} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)^{2} + 3 \, {\left(4 \, a^{6} + 12 \, a^{4} b^{2} + 8 \, a^{2} b^{4} + 15 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)^{4} + 20 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 2 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(4 \, a^{6} + 10 \, a^{4} b^{2} + 6 \, a^{2} b^{4} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x + 4 \, {\left(a^{5} b + 5 \, a^{3} b^{3} + 4 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 3 \, {\left(b^{5} \cosh\left(x\right)^{6} + 6 \, b^{5} \cosh\left(x\right) \sinh\left(x\right)^{5} + b^{5} \sinh\left(x\right)^{6} + 3 \, b^{5} \cosh\left(x\right)^{4} + 3 \, b^{5} \cosh\left(x\right)^{2} + b^{5} + 3 \, {\left(5 \, b^{5} \cosh\left(x\right)^{2} + b^{5}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, b^{5} \cosh\left(x\right)^{3} + 3 \, b^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, b^{5} \cosh\left(x\right)^{4} + 6 \, b^{5} \cosh\left(x\right)^{2} + b^{5}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(b^{5} \cosh\left(x\right)^{5} + 2 \, b^{5} \cosh\left(x\right)^{3} + b^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) - a}\right) + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x + 6 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 2 \, a b^{5}\right)} \cosh\left(x\right) + 6 \, {\left(3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x \cosh\left(x\right)^{5} + a^{5} b + 3 \, a^{3} b^{3} + 2 \, a b^{5} + 5 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 2 \, a b^{5}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(4 \, a^{6} + 10 \, a^{4} b^{2} + 6 \, a^{2} b^{4} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)^{3} + 2 \, {\left(a^{5} b + 5 \, a^{3} b^{3} + 4 \, a b^{5}\right)} \cosh\left(x\right)^{2} + {\left(4 \, a^{6} + 12 \, a^{4} b^{2} + 8 \, a^{2} b^{4} + 3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6} + {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \sinh\left(x\right)^{6} + 3 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6} + 5 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6} + 5 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)^{3} + {\left(a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/3*(3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x)^6 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*sinh(x)^6 + 8*a^6 + 22*a^4*b^2 + 14*a^2*b^4 + 6*(a^5*b + 3*a^3*b^3 + 2*a*b^5)*cosh(x)^5 + 6*(a^5*b + 3*a^3*b^3 + 2*a*b^5 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x))*sinh(x)^5 + 3*(4*a^6 + 10*a^4*b^2 + 6*a^2*b^4 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x)^4 + 3*(4*a^6 + 10*a^4*b^2 + 6*a^2*b^4 + 15*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x)^2 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x + 10*(a^5*b + 3*a^3*b^3 + 2*a*b^5)*cosh(x))*sinh(x)^4 + 4*(a^5*b + 5*a^3*b^3 + 4*a*b^5)*cosh(x)^3 + 4*(a^5*b + 5*a^3*b^3 + 4*a*b^5 + 15*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x)^3 + 15*(a^5*b + 3*a^3*b^3 + 2*a*b^5)*cosh(x)^2 + 3*(4*a^6 + 10*a^4*b^2 + 6*a^2*b^4 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x))*sinh(x)^3 + 3*(4*a^6 + 12*a^4*b^2 + 8*a^2*b^4 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x)^2 + 3*(4*a^6 + 12*a^4*b^2 + 8*a^2*b^4 + 15*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x)^4 + 20*(a^5*b + 3*a^3*b^3 + 2*a*b^5)*cosh(x)^3 + 6*(4*a^6 + 10*a^4*b^2 + 6*a^2*b^4 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x)^2 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x + 4*(a^5*b + 5*a^3*b^3 + 4*a*b^5)*cosh(x))*sinh(x)^2 + 3*(b^5*cosh(x)^6 + 6*b^5*cosh(x)*sinh(x)^5 + b^5*sinh(x)^6 + 3*b^5*cosh(x)^4 + 3*b^5*cosh(x)^2 + b^5 + 3*(5*b^5*cosh(x)^2 + b^5)*sinh(x)^4 + 4*(5*b^5*cosh(x)^3 + 3*b^5*cosh(x))*sinh(x)^3 + 3*(5*b^5*cosh(x)^4 + 6*b^5*cosh(x)^2 + b^5)*sinh(x)^2 + 6*(b^5*cosh(x)^5 + 2*b^5*cosh(x)^3 + b^5*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) - a)) + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x + 6*(a^5*b + 3*a^3*b^3 + 2*a*b^5)*cosh(x) + 6*(3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x*cosh(x)^5 + a^5*b + 3*a^3*b^3 + 2*a*b^5 + 5*(a^5*b + 3*a^3*b^3 + 2*a*b^5)*cosh(x)^4 + 2*(4*a^6 + 10*a^4*b^2 + 6*a^2*b^4 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x)^3 + 2*(a^5*b + 5*a^3*b^3 + 4*a*b^5)*cosh(x)^2 + (4*a^6 + 12*a^4*b^2 + 8*a^2*b^4 + 3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*x)*cosh(x))*sinh(x))/(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6 + (a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^6 + 6*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)*sinh(x)^5 + (a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*sinh(x)^6 + 3*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^4 + 3*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6 + 5*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^2)*sinh(x)^4 + 4*(5*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^3 + 3*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x))*sinh(x)^3 + 3*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^2 + 3*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6 + 5*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^4 + 6*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^2)*sinh(x)^2 + 6*((a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^5 + 2*(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x)^3 + (a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6)*cosh(x))*sinh(x))","B",0
115,1,965,0,0.867066," ","integrate(tanh(x)^3/(a+b*csch(x)),x, algorithm=""fricas"")","-\frac{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x \cosh\left(x\right)^{4} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x \sinh\left(x\right)^{4} - {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)^{3} - {\left(a^{3} b + a b^{3} - 4 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 2 \, {\left(a^{4} + a^{2} b^{2} - {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x\right)} \cosh\left(x\right)^{2} - {\left(2 \, a^{4} + 2 \, a^{2} b^{2} - 6 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x \cosh\left(x\right)^{2} - 2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x + 3 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x + {\left({\left(a^{3} b + 3 \, a b^{3}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{3} b + 3 \, a b^{3}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{3} b + 3 \, a b^{3}\right)} \sinh\left(x\right)^{4} + a^{3} b + 3 \, a b^{3} + 2 \, {\left(a^{3} b + 3 \, a b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{3} b + 3 \, a b^{3} + 3 \, {\left(a^{3} b + 3 \, a b^{3}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{3} b + 3 \, a b^{3}\right)} \cosh\left(x\right)^{3} + {\left(a^{3} b + 3 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right) - {\left(b^{4} \cosh\left(x\right)^{4} + 4 \, b^{4} \cosh\left(x\right) \sinh\left(x\right)^{3} + b^{4} \sinh\left(x\right)^{4} + 2 \, b^{4} \cosh\left(x\right)^{2} + b^{4} + 2 \, {\left(3 \, b^{4} \cosh\left(x\right)^{2} + b^{4}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(b^{4} \cosh\left(x\right)^{3} + b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(a \sinh\left(x\right) + b\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - {\left({\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \sinh\left(x\right)^{4} + a^{4} + 2 \, a^{2} b^{2} + 2 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + 3 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(4 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x \cosh\left(x\right)^{3} + a^{3} b + a b^{3} - 3 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(a^{4} + a^{2} b^{2} - {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{5} + 2 \, a^{3} b^{2} + a b^{4} + {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \sinh\left(x\right)^{4} + 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4} + 3 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}"," ",0,"-((a^4 + 2*a^2*b^2 + b^4)*x*cosh(x)^4 + (a^4 + 2*a^2*b^2 + b^4)*x*sinh(x)^4 - (a^3*b + a*b^3)*cosh(x)^3 - (a^3*b + a*b^3 - 4*(a^4 + 2*a^2*b^2 + b^4)*x*cosh(x))*sinh(x)^3 - 2*(a^4 + a^2*b^2 - (a^4 + 2*a^2*b^2 + b^4)*x)*cosh(x)^2 - (2*a^4 + 2*a^2*b^2 - 6*(a^4 + 2*a^2*b^2 + b^4)*x*cosh(x)^2 - 2*(a^4 + 2*a^2*b^2 + b^4)*x + 3*(a^3*b + a*b^3)*cosh(x))*sinh(x)^2 + (a^4 + 2*a^2*b^2 + b^4)*x + ((a^3*b + 3*a*b^3)*cosh(x)^4 + 4*(a^3*b + 3*a*b^3)*cosh(x)*sinh(x)^3 + (a^3*b + 3*a*b^3)*sinh(x)^4 + a^3*b + 3*a*b^3 + 2*(a^3*b + 3*a*b^3)*cosh(x)^2 + 2*(a^3*b + 3*a*b^3 + 3*(a^3*b + 3*a*b^3)*cosh(x)^2)*sinh(x)^2 + 4*((a^3*b + 3*a*b^3)*cosh(x)^3 + (a^3*b + 3*a*b^3)*cosh(x))*sinh(x))*arctan(cosh(x) + sinh(x)) + (a^3*b + a*b^3)*cosh(x) - (b^4*cosh(x)^4 + 4*b^4*cosh(x)*sinh(x)^3 + b^4*sinh(x)^4 + 2*b^4*cosh(x)^2 + b^4 + 2*(3*b^4*cosh(x)^2 + b^4)*sinh(x)^2 + 4*(b^4*cosh(x)^3 + b^4*cosh(x))*sinh(x))*log(2*(a*sinh(x) + b)/(cosh(x) - sinh(x))) - ((a^4 + 2*a^2*b^2)*cosh(x)^4 + 4*(a^4 + 2*a^2*b^2)*cosh(x)*sinh(x)^3 + (a^4 + 2*a^2*b^2)*sinh(x)^4 + a^4 + 2*a^2*b^2 + 2*(a^4 + 2*a^2*b^2)*cosh(x)^2 + 2*(a^4 + 2*a^2*b^2 + 3*(a^4 + 2*a^2*b^2)*cosh(x)^2)*sinh(x)^2 + 4*((a^4 + 2*a^2*b^2)*cosh(x)^3 + (a^4 + 2*a^2*b^2)*cosh(x))*sinh(x))*log(2*cosh(x)/(cosh(x) - sinh(x))) + (4*(a^4 + 2*a^2*b^2 + b^4)*x*cosh(x)^3 + a^3*b + a*b^3 - 3*(a^3*b + a*b^3)*cosh(x)^2 - 4*(a^4 + a^2*b^2 - (a^4 + 2*a^2*b^2 + b^4)*x)*cosh(x))*sinh(x))/(a^5 + 2*a^3*b^2 + a*b^4 + (a^5 + 2*a^3*b^2 + a*b^4)*cosh(x)^4 + 4*(a^5 + 2*a^3*b^2 + a*b^4)*cosh(x)*sinh(x)^3 + (a^5 + 2*a^3*b^2 + a*b^4)*sinh(x)^4 + 2*(a^5 + 2*a^3*b^2 + a*b^4)*cosh(x)^2 + 2*(a^5 + 2*a^3*b^2 + a*b^4 + 3*(a^5 + 2*a^3*b^2 + a*b^4)*cosh(x)^2)*sinh(x)^2 + 4*((a^5 + 2*a^3*b^2 + a*b^4)*cosh(x)^3 + (a^5 + 2*a^3*b^2 + a*b^4)*cosh(x))*sinh(x))","B",0
116,1,349,0,0.687610," ","integrate(tanh(x)^2/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{2 \, a^{4} + 2 \, a^{2} b^{2} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x \cosh\left(x\right)^{2} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x \sinh\left(x\right)^{2} + {\left(b^{3} \cosh\left(x\right)^{2} + 2 \, b^{3} \cosh\left(x\right) \sinh\left(x\right) + b^{3} \sinh\left(x\right)^{2} + b^{3}\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) - a}\right) + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x + 2 \, {\left(a^{3} b + a b^{3}\right)} \cosh\left(x\right) + 2 \, {\left(a^{3} b + a b^{3} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} x \cosh\left(x\right)\right)} \sinh\left(x\right)}{a^{5} + 2 \, a^{3} b^{2} + a b^{4} + {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \sinh\left(x\right)^{2}}"," ",0,"(2*a^4 + 2*a^2*b^2 + (a^4 + 2*a^2*b^2 + b^4)*x*cosh(x)^2 + (a^4 + 2*a^2*b^2 + b^4)*x*sinh(x)^2 + (b^3*cosh(x)^2 + 2*b^3*cosh(x)*sinh(x) + b^3*sinh(x)^2 + b^3)*sqrt(a^2 + b^2)*log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) - a)) + (a^4 + 2*a^2*b^2 + b^4)*x + 2*(a^3*b + a*b^3)*cosh(x) + 2*(a^3*b + a*b^3 + (a^4 + 2*a^2*b^2 + b^4)*x*cosh(x))*sinh(x))/(a^5 + 2*a^3*b^2 + a*b^4 + (a^5 + 2*a^3*b^2 + a*b^4)*cosh(x)^2 + 2*(a^5 + 2*a^3*b^2 + a*b^4)*cosh(x)*sinh(x) + (a^5 + 2*a^3*b^2 + a*b^4)*sinh(x)^2)","B",0
117,1,75,0,1.261102," ","integrate(tanh(x)/(a+b*csch(x)),x, algorithm=""fricas"")","-\frac{2 \, a b \arctan\left(\cosh\left(x\right) + \sinh\left(x\right)\right) - b^{2} \log\left(\frac{2 \, {\left(a \sinh\left(x\right) + b\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) - a^{2} \log\left(\frac{2 \, \cosh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(a^{2} + b^{2}\right)} x}{a^{3} + a b^{2}}"," ",0,"-(2*a*b*arctan(cosh(x) + sinh(x)) - b^2*log(2*(a*sinh(x) + b)/(cosh(x) - sinh(x))) - a^2*log(2*cosh(x)/(cosh(x) - sinh(x))) + (a^2 + b^2)*x)/(a^3 + a*b^2)","A",0
118,1,27,0,0.601858," ","integrate(coth(x)/(a+b*csch(x)),x, algorithm=""fricas"")","-\frac{x - \log\left(\frac{2 \, {\left(a \sinh\left(x\right) + b\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right)}{a}"," ",0,"-(x - log(2*(a*sinh(x) + b)/(cosh(x) - sinh(x))))/a","A",0
119,1,141,0,0.628623," ","integrate(coth(x)^2/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{b x - a \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + a \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + \sqrt{a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) - a}\right)}{a b}"," ",0,"(b*x - a*log(cosh(x) + sinh(x) + 1) + a*log(cosh(x) + sinh(x) - 1) + sqrt(a^2 + b^2)*log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) - a)))/(a*b)","B",0
120,1,199,0,0.614341," ","integrate(coth(x)^3/(a+b*csch(x)),x, algorithm=""fricas"")","-\frac{b^{2} x \cosh\left(x\right)^{2} + b^{2} x \sinh\left(x\right)^{2} - b^{2} x + 2 \, a b \cosh\left(x\right) - {\left({\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right) + {\left(a^{2} + b^{2}\right)} \sinh\left(x\right)^{2} - a^{2} - b^{2}\right)} \log\left(\frac{2 \, {\left(a \sinh\left(x\right) + b\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + {\left(a^{2} \cosh\left(x\right)^{2} + 2 \, a^{2} \cosh\left(x\right) \sinh\left(x\right) + a^{2} \sinh\left(x\right)^{2} - a^{2}\right)} \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 2 \, {\left(b^{2} x \cosh\left(x\right) + a b\right)} \sinh\left(x\right)}{a b^{2} \cosh\left(x\right)^{2} + 2 \, a b^{2} \cosh\left(x\right) \sinh\left(x\right) + a b^{2} \sinh\left(x\right)^{2} - a b^{2}}"," ",0,"-(b^2*x*cosh(x)^2 + b^2*x*sinh(x)^2 - b^2*x + 2*a*b*cosh(x) - ((a^2 + b^2)*cosh(x)^2 + 2*(a^2 + b^2)*cosh(x)*sinh(x) + (a^2 + b^2)*sinh(x)^2 - a^2 - b^2)*log(2*(a*sinh(x) + b)/(cosh(x) - sinh(x))) + (a^2*cosh(x)^2 + 2*a^2*cosh(x)*sinh(x) + a^2*sinh(x)^2 - a^2)*log(2*sinh(x)/(cosh(x) - sinh(x))) + 2*(b^2*x*cosh(x) + a*b)*sinh(x))/(a*b^2*cosh(x)^2 + 2*a*b^2*cosh(x)*sinh(x) + a*b^2*sinh(x)^2 - a*b^2)","B",0
121,1,831,0,1.718873," ","integrate(coth(x)^4/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{2 \, b^{3} x \cosh\left(x\right)^{4} + 2 \, b^{3} x \sinh\left(x\right)^{4} - 2 \, a b^{2} \cosh\left(x\right)^{3} + 2 \, b^{3} x - 2 \, a b^{2} \cosh\left(x\right) + 2 \, {\left(4 \, b^{3} x \cosh\left(x\right) - a b^{2}\right)} \sinh\left(x\right)^{3} - 4 \, a^{2} b - 4 \, {\left(b^{3} x - a^{2} b\right)} \cosh\left(x\right)^{2} + 2 \, {\left(6 \, b^{3} x \cosh\left(x\right)^{2} - 2 \, b^{3} x - 3 \, a b^{2} \cosh\left(x\right) + 2 \, a^{2} b\right)} \sinh\left(x\right)^{2} + 2 \, {\left({\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(a^{2} + b^{2}\right)} \sinh\left(x\right)^{4} - 2 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(3 \, {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{2} - a^{2} - b^{2}\right)} \sinh\left(x\right)^{2} + a^{2} + b^{2} + 4 \, {\left({\left(a^{2} + b^{2}\right)} \cosh\left(x\right)^{3} - {\left(a^{2} + b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) - a}\right) - {\left({\left(2 \, a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a^{3} + 3 \, a b^{2}\right)} \sinh\left(x\right)^{4} + 2 \, a^{3} + 3 \, a b^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2} - 3 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(2 \, a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{3} - {\left(2 \, a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + {\left({\left(2 \, a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{4} + 4 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{3} + {\left(2 \, a^{3} + 3 \, a b^{2}\right)} \sinh\left(x\right)^{4} + 2 \, a^{3} + 3 \, a b^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{2} - 2 \, {\left(2 \, a^{3} + 3 \, a b^{2} - 3 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 4 \, {\left({\left(2 \, a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)^{3} - {\left(2 \, a^{3} + 3 \, a b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(4 \, b^{3} x \cosh\left(x\right)^{3} - 3 \, a b^{2} \cosh\left(x\right)^{2} - a b^{2} - 4 \, {\left(b^{3} x - a^{2} b\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{2 \, {\left(a b^{3} \cosh\left(x\right)^{4} + 4 \, a b^{3} \cosh\left(x\right) \sinh\left(x\right)^{3} + a b^{3} \sinh\left(x\right)^{4} - 2 \, a b^{3} \cosh\left(x\right)^{2} + a b^{3} + 2 \, {\left(3 \, a b^{3} \cosh\left(x\right)^{2} - a b^{3}\right)} \sinh\left(x\right)^{2} + 4 \, {\left(a b^{3} \cosh\left(x\right)^{3} - a b^{3} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/2*(2*b^3*x*cosh(x)^4 + 2*b^3*x*sinh(x)^4 - 2*a*b^2*cosh(x)^3 + 2*b^3*x - 2*a*b^2*cosh(x) + 2*(4*b^3*x*cosh(x) - a*b^2)*sinh(x)^3 - 4*a^2*b - 4*(b^3*x - a^2*b)*cosh(x)^2 + 2*(6*b^3*x*cosh(x)^2 - 2*b^3*x - 3*a*b^2*cosh(x) + 2*a^2*b)*sinh(x)^2 + 2*((a^2 + b^2)*cosh(x)^4 + 4*(a^2 + b^2)*cosh(x)*sinh(x)^3 + (a^2 + b^2)*sinh(x)^4 - 2*(a^2 + b^2)*cosh(x)^2 + 2*(3*(a^2 + b^2)*cosh(x)^2 - a^2 - b^2)*sinh(x)^2 + a^2 + b^2 + 4*((a^2 + b^2)*cosh(x)^3 - (a^2 + b^2)*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) - a)) - ((2*a^3 + 3*a*b^2)*cosh(x)^4 + 4*(2*a^3 + 3*a*b^2)*cosh(x)*sinh(x)^3 + (2*a^3 + 3*a*b^2)*sinh(x)^4 + 2*a^3 + 3*a*b^2 - 2*(2*a^3 + 3*a*b^2)*cosh(x)^2 - 2*(2*a^3 + 3*a*b^2 - 3*(2*a^3 + 3*a*b^2)*cosh(x)^2)*sinh(x)^2 + 4*((2*a^3 + 3*a*b^2)*cosh(x)^3 - (2*a^3 + 3*a*b^2)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + ((2*a^3 + 3*a*b^2)*cosh(x)^4 + 4*(2*a^3 + 3*a*b^2)*cosh(x)*sinh(x)^3 + (2*a^3 + 3*a*b^2)*sinh(x)^4 + 2*a^3 + 3*a*b^2 - 2*(2*a^3 + 3*a*b^2)*cosh(x)^2 - 2*(2*a^3 + 3*a*b^2 - 3*(2*a^3 + 3*a*b^2)*cosh(x)^2)*sinh(x)^2 + 4*((2*a^3 + 3*a*b^2)*cosh(x)^3 - (2*a^3 + 3*a*b^2)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) + 2*(4*b^3*x*cosh(x)^3 - 3*a*b^2*cosh(x)^2 - a*b^2 - 4*(b^3*x - a^2*b)*cosh(x))*sinh(x))/(a*b^3*cosh(x)^4 + 4*a*b^3*cosh(x)*sinh(x)^3 + a*b^3*sinh(x)^4 - 2*a*b^3*cosh(x)^2 + a*b^3 + 2*(3*a*b^3*cosh(x)^2 - a*b^3)*sinh(x)^2 + 4*(a*b^3*cosh(x)^3 - a*b^3*cosh(x))*sinh(x))","B",0
122,1,1288,0,0.886587," ","integrate(coth(x)^5/(a+b*csch(x)),x, algorithm=""fricas"")","-\frac{3 \, b^{4} x \cosh\left(x\right)^{6} + 3 \, b^{4} x \sinh\left(x\right)^{6} + 6 \, {\left(a^{3} b + 2 \, a b^{3}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(3 \, b^{4} x \cosh\left(x\right) + a^{3} b + 2 \, a b^{3}\right)} \sinh\left(x\right)^{5} - 3 \, b^{4} x - 3 \, {\left(3 \, b^{4} x + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{4} + 3 \, {\left(15 \, b^{4} x \cosh\left(x\right)^{2} - 3 \, b^{4} x - 2 \, a^{2} b^{2} + 10 \, {\left(a^{3} b + 2 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 4 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{3} + 4 \, {\left(15 \, b^{4} x \cosh\left(x\right)^{3} - 3 \, a^{3} b - 4 \, a b^{3} + 15 \, {\left(a^{3} b + 2 \, a b^{3}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(3 \, b^{4} x + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(3 \, b^{4} x + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(15 \, b^{4} x \cosh\left(x\right)^{4} + 3 \, b^{4} x + 2 \, a^{2} b^{2} + 20 \, {\left(a^{3} b + 2 \, a b^{3}\right)} \cosh\left(x\right)^{3} - 6 \, {\left(3 \, b^{4} x + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{2} - 4 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a^{3} b + 2 \, a b^{3}\right)} \cosh\left(x\right) - 3 \, {\left({\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{6} - 3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4} - 5 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} - a^{4} - 2 \, a^{2} b^{2} - b^{4} + 4 \, {\left(5 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + a^{4} + 2 \, a^{2} b^{2} + b^{4} - 6 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(a \sinh\left(x\right) + b\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 3 \, {\left({\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right) \sinh\left(x\right)^{5} + {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \sinh\left(x\right)^{6} - 3 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{4} - 3 \, {\left(a^{4} + 2 \, a^{2} b^{2} - 5 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} - a^{4} - 2 \, a^{2} b^{2} + 4 \, {\left(5 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{4} + a^{4} + 2 \, a^{2} b^{2} - 6 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 6 \, {\left({\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{5} - 2 \, {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{3} + {\left(a^{4} + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 6 \, {\left(3 \, b^{4} x \cosh\left(x\right)^{5} + 5 \, {\left(a^{3} b + 2 \, a b^{3}\right)} \cosh\left(x\right)^{4} + a^{3} b + 2 \, a b^{3} - 2 \, {\left(3 \, b^{4} x + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)^{3} - 2 \, {\left(3 \, a^{3} b + 4 \, a b^{3}\right)} \cosh\left(x\right)^{2} + {\left(3 \, b^{4} x + 2 \, a^{2} b^{2}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{3 \, {\left(a b^{4} \cosh\left(x\right)^{6} + 6 \, a b^{4} \cosh\left(x\right) \sinh\left(x\right)^{5} + a b^{4} \sinh\left(x\right)^{6} - 3 \, a b^{4} \cosh\left(x\right)^{4} + 3 \, a b^{4} \cosh\left(x\right)^{2} - a b^{4} + 3 \, {\left(5 \, a b^{4} \cosh\left(x\right)^{2} - a b^{4}\right)} \sinh\left(x\right)^{4} + 4 \, {\left(5 \, a b^{4} \cosh\left(x\right)^{3} - 3 \, a b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 3 \, {\left(5 \, a b^{4} \cosh\left(x\right)^{4} - 6 \, a b^{4} \cosh\left(x\right)^{2} + a b^{4}\right)} \sinh\left(x\right)^{2} + 6 \, {\left(a b^{4} \cosh\left(x\right)^{5} - 2 \, a b^{4} \cosh\left(x\right)^{3} + a b^{4} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/3*(3*b^4*x*cosh(x)^6 + 3*b^4*x*sinh(x)^6 + 6*(a^3*b + 2*a*b^3)*cosh(x)^5 + 6*(3*b^4*x*cosh(x) + a^3*b + 2*a*b^3)*sinh(x)^5 - 3*b^4*x - 3*(3*b^4*x + 2*a^2*b^2)*cosh(x)^4 + 3*(15*b^4*x*cosh(x)^2 - 3*b^4*x - 2*a^2*b^2 + 10*(a^3*b + 2*a*b^3)*cosh(x))*sinh(x)^4 - 4*(3*a^3*b + 4*a*b^3)*cosh(x)^3 + 4*(15*b^4*x*cosh(x)^3 - 3*a^3*b - 4*a*b^3 + 15*(a^3*b + 2*a*b^3)*cosh(x)^2 - 3*(3*b^4*x + 2*a^2*b^2)*cosh(x))*sinh(x)^3 + 3*(3*b^4*x + 2*a^2*b^2)*cosh(x)^2 + 3*(15*b^4*x*cosh(x)^4 + 3*b^4*x + 2*a^2*b^2 + 20*(a^3*b + 2*a*b^3)*cosh(x)^3 - 6*(3*b^4*x + 2*a^2*b^2)*cosh(x)^2 - 4*(3*a^3*b + 4*a*b^3)*cosh(x))*sinh(x)^2 + 6*(a^3*b + 2*a*b^3)*cosh(x) - 3*((a^4 + 2*a^2*b^2 + b^4)*cosh(x)^6 + 6*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)*sinh(x)^5 + (a^4 + 2*a^2*b^2 + b^4)*sinh(x)^6 - 3*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^4 - 3*(a^4 + 2*a^2*b^2 + b^4 - 5*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^4 - a^4 - 2*a^2*b^2 - b^4 + 4*(5*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^3 - 3*(a^4 + 2*a^2*b^2 + b^4)*cosh(x))*sinh(x)^3 + 3*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2 + 3*(5*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^4 + a^4 + 2*a^2*b^2 + b^4 - 6*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^2 + 6*((a^4 + 2*a^2*b^2 + b^4)*cosh(x)^5 - 2*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^3 + (a^4 + 2*a^2*b^2 + b^4)*cosh(x))*sinh(x))*log(2*(a*sinh(x) + b)/(cosh(x) - sinh(x))) + 3*((a^4 + 2*a^2*b^2)*cosh(x)^6 + 6*(a^4 + 2*a^2*b^2)*cosh(x)*sinh(x)^5 + (a^4 + 2*a^2*b^2)*sinh(x)^6 - 3*(a^4 + 2*a^2*b^2)*cosh(x)^4 - 3*(a^4 + 2*a^2*b^2 - 5*(a^4 + 2*a^2*b^2)*cosh(x)^2)*sinh(x)^4 - a^4 - 2*a^2*b^2 + 4*(5*(a^4 + 2*a^2*b^2)*cosh(x)^3 - 3*(a^4 + 2*a^2*b^2)*cosh(x))*sinh(x)^3 + 3*(a^4 + 2*a^2*b^2)*cosh(x)^2 + 3*(5*(a^4 + 2*a^2*b^2)*cosh(x)^4 + a^4 + 2*a^2*b^2 - 6*(a^4 + 2*a^2*b^2)*cosh(x)^2)*sinh(x)^2 + 6*((a^4 + 2*a^2*b^2)*cosh(x)^5 - 2*(a^4 + 2*a^2*b^2)*cosh(x)^3 + (a^4 + 2*a^2*b^2)*cosh(x))*sinh(x))*log(2*sinh(x)/(cosh(x) - sinh(x))) + 6*(3*b^4*x*cosh(x)^5 + 5*(a^3*b + 2*a*b^3)*cosh(x)^4 + a^3*b + 2*a*b^3 - 2*(3*b^4*x + 2*a^2*b^2)*cosh(x)^3 - 2*(3*a^3*b + 4*a*b^3)*cosh(x)^2 + (3*b^4*x + 2*a^2*b^2)*cosh(x))*sinh(x))/(a*b^4*cosh(x)^6 + 6*a*b^4*cosh(x)*sinh(x)^5 + a*b^4*sinh(x)^6 - 3*a*b^4*cosh(x)^4 + 3*a*b^4*cosh(x)^2 - a*b^4 + 3*(5*a*b^4*cosh(x)^2 - a*b^4)*sinh(x)^4 + 4*(5*a*b^4*cosh(x)^3 - 3*a*b^4*cosh(x))*sinh(x)^3 + 3*(5*a*b^4*cosh(x)^4 - 6*a*b^4*cosh(x)^2 + a*b^4)*sinh(x)^2 + 6*(a*b^4*cosh(x)^5 - 2*a*b^4*cosh(x)^3 + a*b^4*cosh(x))*sinh(x))","B",0
123,1,3160,0,2.180310," ","integrate(coth(x)^6/(a+b*csch(x)),x, algorithm=""fricas"")","\frac{24 \, b^{5} x \cosh\left(x\right)^{8} + 24 \, b^{5} x \sinh\left(x\right)^{8} - 6 \, {\left(4 \, a^{3} b^{2} + 9 \, a b^{4}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(32 \, b^{5} x \cosh\left(x\right) - 4 \, a^{3} b^{2} - 9 \, a b^{4}\right)} \sinh\left(x\right)^{7} - 48 \, {\left(2 \, b^{5} x - a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{6} + 6 \, {\left(112 \, b^{5} x \cosh\left(x\right)^{2} - 16 \, b^{5} x + 8 \, a^{4} b + 24 \, a^{2} b^{3} - 7 \, {\left(4 \, a^{3} b^{2} + 9 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 24 \, b^{5} x + 6 \, {\left(4 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{5} + 6 \, {\left(224 \, b^{5} x \cosh\left(x\right)^{3} + 4 \, a^{3} b^{2} + a b^{4} - 21 \, {\left(4 \, a^{3} b^{2} + 9 \, a b^{4}\right)} \cosh\left(x\right)^{2} - 48 \, {\left(2 \, b^{5} x - a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 48 \, a^{4} b - 112 \, a^{2} b^{3} + 48 \, {\left(3 \, b^{5} x - 3 \, a^{4} b - 7 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{4} + 6 \, {\left(280 \, b^{5} x \cosh\left(x\right)^{4} + 24 \, b^{5} x - 24 \, a^{4} b - 56 \, a^{2} b^{3} - 35 \, {\left(4 \, a^{3} b^{2} + 9 \, a b^{4}\right)} \cosh\left(x\right)^{3} - 120 \, {\left(2 \, b^{5} x - a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(4 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} + 6 \, {\left(4 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{3} + 6 \, {\left(224 \, b^{5} x \cosh\left(x\right)^{5} + 4 \, a^{3} b^{2} + a b^{4} - 35 \, {\left(4 \, a^{3} b^{2} + 9 \, a b^{4}\right)} \cosh\left(x\right)^{4} - 160 \, {\left(2 \, b^{5} x - a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{3} + 10 \, {\left(4 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{2} + 32 \, {\left(3 \, b^{5} x - 3 \, a^{4} b - 7 \, a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 16 \, {\left(6 \, b^{5} x - 9 \, a^{4} b - 19 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(336 \, b^{5} x \cosh\left(x\right)^{6} - 48 \, b^{5} x - 63 \, {\left(4 \, a^{3} b^{2} + 9 \, a b^{4}\right)} \cosh\left(x\right)^{5} + 72 \, a^{4} b + 152 \, a^{2} b^{3} - 360 \, {\left(2 \, b^{5} x - a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{4} + 30 \, {\left(4 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{3} + 144 \, {\left(3 \, b^{5} x - 3 \, a^{4} b - 7 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{2} + 9 \, {\left(4 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 24 \, {\left({\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sinh\left(x\right)^{8} - 4 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{6} - 4 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4} - 7 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 6 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(35 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} + 3 \, a^{4} + 6 \, a^{2} b^{2} + 3 \, b^{4} - 30 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + a^{4} + 2 \, a^{2} b^{2} + b^{4} + 8 \, {\left(7 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{6} - 15 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{4} - a^{4} - 2 \, a^{2} b^{2} - b^{4} + 9 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)^{3} - {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{a^{2} \cosh\left(x\right)^{2} + a^{2} \sinh\left(x\right)^{2} + 2 \, a b \cosh\left(x\right) + a^{2} + 2 \, b^{2} + 2 \, {\left(a^{2} \cosh\left(x\right) + a b\right)} \sinh\left(x\right) + 2 \, \sqrt{a^{2} + b^{2}} {\left(a \cosh\left(x\right) + a \sinh\left(x\right) + b\right)}}{a \cosh\left(x\right)^{2} + a \sinh\left(x\right)^{2} + 2 \, b \cosh\left(x\right) + 2 \, {\left(a \cosh\left(x\right) + b\right)} \sinh\left(x\right) - a}\right) - 6 \, {\left(4 \, a^{3} b^{2} + 9 \, a b^{4}\right)} \cosh\left(x\right) - 3 \, {\left({\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \sinh\left(x\right)^{8} - 4 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{6} - 4 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4} - 7 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4} + 6 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(24 \, a^{5} + 60 \, a^{3} b^{2} + 45 \, a b^{4} + 35 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} - 30 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{6} - 8 \, a^{5} - 20 \, a^{3} b^{2} - 15 \, a b^{4} - 15 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} - {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) + 1\right) + 3 \, {\left({\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{8} + 8 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{7} + {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \sinh\left(x\right)^{8} - 4 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{6} - 4 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4} - 7 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} + 8 \, {\left(7 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} - 3 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4} + 6 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 2 \, {\left(24 \, a^{5} + 60 \, a^{3} b^{2} + 45 \, a b^{4} + 35 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} - 30 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{5} - 10 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} + 3 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} - 4 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{6} - 8 \, a^{5} - 20 \, a^{3} b^{2} - 15 \, a b^{4} - 15 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{4} + 9 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 8 \, {\left({\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{7} - 3 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{5} + 3 \, {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)^{3} - {\left(8 \, a^{5} + 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\cosh\left(x\right) + \sinh\left(x\right) - 1\right) + 2 \, {\left(96 \, b^{5} x \cosh\left(x\right)^{7} - 21 \, {\left(4 \, a^{3} b^{2} + 9 \, a b^{4}\right)} \cosh\left(x\right)^{6} - 144 \, {\left(2 \, b^{5} x - a^{4} b - 3 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{5} - 12 \, a^{3} b^{2} - 27 \, a b^{4} + 15 \, {\left(4 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{4} + 96 \, {\left(3 \, b^{5} x - 3 \, a^{4} b - 7 \, a^{2} b^{3}\right)} \cosh\left(x\right)^{3} + 9 \, {\left(4 \, a^{3} b^{2} + a b^{4}\right)} \cosh\left(x\right)^{2} - 16 \, {\left(6 \, b^{5} x - 9 \, a^{4} b - 19 \, a^{2} b^{3}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{24 \, {\left(a b^{5} \cosh\left(x\right)^{8} + 8 \, a b^{5} \cosh\left(x\right) \sinh\left(x\right)^{7} + a b^{5} \sinh\left(x\right)^{8} - 4 \, a b^{5} \cosh\left(x\right)^{6} + 6 \, a b^{5} \cosh\left(x\right)^{4} - 4 \, a b^{5} \cosh\left(x\right)^{2} + 4 \, {\left(7 \, a b^{5} \cosh\left(x\right)^{2} - a b^{5}\right)} \sinh\left(x\right)^{6} + a b^{5} + 8 \, {\left(7 \, a b^{5} \cosh\left(x\right)^{3} - 3 \, a b^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 2 \, {\left(35 \, a b^{5} \cosh\left(x\right)^{4} - 30 \, a b^{5} \cosh\left(x\right)^{2} + 3 \, a b^{5}\right)} \sinh\left(x\right)^{4} + 8 \, {\left(7 \, a b^{5} \cosh\left(x\right)^{5} - 10 \, a b^{5} \cosh\left(x\right)^{3} + 3 \, a b^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 4 \, {\left(7 \, a b^{5} \cosh\left(x\right)^{6} - 15 \, a b^{5} \cosh\left(x\right)^{4} + 9 \, a b^{5} \cosh\left(x\right)^{2} - a b^{5}\right)} \sinh\left(x\right)^{2} + 8 \, {\left(a b^{5} \cosh\left(x\right)^{7} - 3 \, a b^{5} \cosh\left(x\right)^{5} + 3 \, a b^{5} \cosh\left(x\right)^{3} - a b^{5} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"1/24*(24*b^5*x*cosh(x)^8 + 24*b^5*x*sinh(x)^8 - 6*(4*a^3*b^2 + 9*a*b^4)*cosh(x)^7 + 6*(32*b^5*x*cosh(x) - 4*a^3*b^2 - 9*a*b^4)*sinh(x)^7 - 48*(2*b^5*x - a^4*b - 3*a^2*b^3)*cosh(x)^6 + 6*(112*b^5*x*cosh(x)^2 - 16*b^5*x + 8*a^4*b + 24*a^2*b^3 - 7*(4*a^3*b^2 + 9*a*b^4)*cosh(x))*sinh(x)^6 + 24*b^5*x + 6*(4*a^3*b^2 + a*b^4)*cosh(x)^5 + 6*(224*b^5*x*cosh(x)^3 + 4*a^3*b^2 + a*b^4 - 21*(4*a^3*b^2 + 9*a*b^4)*cosh(x)^2 - 48*(2*b^5*x - a^4*b - 3*a^2*b^3)*cosh(x))*sinh(x)^5 - 48*a^4*b - 112*a^2*b^3 + 48*(3*b^5*x - 3*a^4*b - 7*a^2*b^3)*cosh(x)^4 + 6*(280*b^5*x*cosh(x)^4 + 24*b^5*x - 24*a^4*b - 56*a^2*b^3 - 35*(4*a^3*b^2 + 9*a*b^4)*cosh(x)^3 - 120*(2*b^5*x - a^4*b - 3*a^2*b^3)*cosh(x)^2 + 5*(4*a^3*b^2 + a*b^4)*cosh(x))*sinh(x)^4 + 6*(4*a^3*b^2 + a*b^4)*cosh(x)^3 + 6*(224*b^5*x*cosh(x)^5 + 4*a^3*b^2 + a*b^4 - 35*(4*a^3*b^2 + 9*a*b^4)*cosh(x)^4 - 160*(2*b^5*x - a^4*b - 3*a^2*b^3)*cosh(x)^3 + 10*(4*a^3*b^2 + a*b^4)*cosh(x)^2 + 32*(3*b^5*x - 3*a^4*b - 7*a^2*b^3)*cosh(x))*sinh(x)^3 - 16*(6*b^5*x - 9*a^4*b - 19*a^2*b^3)*cosh(x)^2 + 2*(336*b^5*x*cosh(x)^6 - 48*b^5*x - 63*(4*a^3*b^2 + 9*a*b^4)*cosh(x)^5 + 72*a^4*b + 152*a^2*b^3 - 360*(2*b^5*x - a^4*b - 3*a^2*b^3)*cosh(x)^4 + 30*(4*a^3*b^2 + a*b^4)*cosh(x)^3 + 144*(3*b^5*x - 3*a^4*b - 7*a^2*b^3)*cosh(x)^2 + 9*(4*a^3*b^2 + a*b^4)*cosh(x))*sinh(x)^2 + 24*((a^4 + 2*a^2*b^2 + b^4)*cosh(x)^8 + 8*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)*sinh(x)^7 + (a^4 + 2*a^2*b^2 + b^4)*sinh(x)^8 - 4*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^6 - 4*(a^4 + 2*a^2*b^2 + b^4 - 7*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^6 + 8*(7*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^3 - 3*(a^4 + 2*a^2*b^2 + b^4)*cosh(x))*sinh(x)^5 + 6*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^4 + 2*(35*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^4 + 3*a^4 + 6*a^2*b^2 + 3*b^4 - 30*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^4 + a^4 + 2*a^2*b^2 + b^4 + 8*(7*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^5 - 10*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^3 + 3*(a^4 + 2*a^2*b^2 + b^4)*cosh(x))*sinh(x)^3 - 4*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2 + 4*(7*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^6 - 15*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^4 - a^4 - 2*a^2*b^2 - b^4 + 9*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^2)*sinh(x)^2 + 8*((a^4 + 2*a^2*b^2 + b^4)*cosh(x)^7 - 3*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^5 + 3*(a^4 + 2*a^2*b^2 + b^4)*cosh(x)^3 - (a^4 + 2*a^2*b^2 + b^4)*cosh(x))*sinh(x))*sqrt(a^2 + b^2)*log((a^2*cosh(x)^2 + a^2*sinh(x)^2 + 2*a*b*cosh(x) + a^2 + 2*b^2 + 2*(a^2*cosh(x) + a*b)*sinh(x) + 2*sqrt(a^2 + b^2)*(a*cosh(x) + a*sinh(x) + b))/(a*cosh(x)^2 + a*sinh(x)^2 + 2*b*cosh(x) + 2*(a*cosh(x) + b)*sinh(x) - a)) - 6*(4*a^3*b^2 + 9*a*b^4)*cosh(x) - 3*((8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^8 + 8*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)*sinh(x)^7 + (8*a^5 + 20*a^3*b^2 + 15*a*b^4)*sinh(x)^8 - 4*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^6 - 4*(8*a^5 + 20*a^3*b^2 + 15*a*b^4 - 7*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2)*sinh(x)^6 + 8*(7*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^3 - 3*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x)^5 + 8*a^5 + 20*a^3*b^2 + 15*a*b^4 + 6*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 2*(24*a^5 + 60*a^3*b^2 + 45*a*b^4 + 35*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^4 - 30*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2)*sinh(x)^4 + 8*(7*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^5 - 10*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^3 + 3*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x)^3 - 4*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2 + 4*(7*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^6 - 8*a^5 - 20*a^3*b^2 - 15*a*b^4 - 15*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 9*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2)*sinh(x)^2 + 8*((8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^7 - 3*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^5 + 3*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^3 - (8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) + 1) + 3*((8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^8 + 8*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)*sinh(x)^7 + (8*a^5 + 20*a^3*b^2 + 15*a*b^4)*sinh(x)^8 - 4*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^6 - 4*(8*a^5 + 20*a^3*b^2 + 15*a*b^4 - 7*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2)*sinh(x)^6 + 8*(7*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^3 - 3*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x)^5 + 8*a^5 + 20*a^3*b^2 + 15*a*b^4 + 6*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 2*(24*a^5 + 60*a^3*b^2 + 45*a*b^4 + 35*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^4 - 30*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2)*sinh(x)^4 + 8*(7*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^5 - 10*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^3 + 3*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x)^3 - 4*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2 + 4*(7*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^6 - 8*a^5 - 20*a^3*b^2 - 15*a*b^4 - 15*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^4 + 9*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^2)*sinh(x)^2 + 8*((8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^7 - 3*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^5 + 3*(8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x)^3 - (8*a^5 + 20*a^3*b^2 + 15*a*b^4)*cosh(x))*sinh(x))*log(cosh(x) + sinh(x) - 1) + 2*(96*b^5*x*cosh(x)^7 - 21*(4*a^3*b^2 + 9*a*b^4)*cosh(x)^6 - 144*(2*b^5*x - a^4*b - 3*a^2*b^3)*cosh(x)^5 - 12*a^3*b^2 - 27*a*b^4 + 15*(4*a^3*b^2 + a*b^4)*cosh(x)^4 + 96*(3*b^5*x - 3*a^4*b - 7*a^2*b^3)*cosh(x)^3 + 9*(4*a^3*b^2 + a*b^4)*cosh(x)^2 - 16*(6*b^5*x - 9*a^4*b - 19*a^2*b^3)*cosh(x))*sinh(x))/(a*b^5*cosh(x)^8 + 8*a*b^5*cosh(x)*sinh(x)^7 + a*b^5*sinh(x)^8 - 4*a*b^5*cosh(x)^6 + 6*a*b^5*cosh(x)^4 - 4*a*b^5*cosh(x)^2 + 4*(7*a*b^5*cosh(x)^2 - a*b^5)*sinh(x)^6 + a*b^5 + 8*(7*a*b^5*cosh(x)^3 - 3*a*b^5*cosh(x))*sinh(x)^5 + 2*(35*a*b^5*cosh(x)^4 - 30*a*b^5*cosh(x)^2 + 3*a*b^5)*sinh(x)^4 + 8*(7*a*b^5*cosh(x)^5 - 10*a*b^5*cosh(x)^3 + 3*a*b^5*cosh(x))*sinh(x)^3 + 4*(7*a*b^5*cosh(x)^6 - 15*a*b^5*cosh(x)^4 + 9*a*b^5*cosh(x)^2 - a*b^5)*sinh(x)^2 + 8*(a*b^5*cosh(x)^7 - 3*a*b^5*cosh(x)^5 + 3*a*b^5*cosh(x)^3 - a*b^5*cosh(x))*sinh(x))","B",0
124,1,4024,0,0.713773," ","integrate(coth(x)^7/(a+b*csch(x)),x, algorithm=""fricas"")","-\frac{15 \, b^{6} x \cosh\left(x\right)^{10} + 15 \, b^{6} x \sinh\left(x\right)^{10} + 30 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{9} + 30 \, {\left(5 \, b^{6} x \cosh\left(x\right) + a^{5} b + 3 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \sinh\left(x\right)^{9} - 15 \, {\left(5 \, b^{6} x + 2 \, a^{4} b^{2} + 6 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{8} + 15 \, {\left(45 \, b^{6} x \cosh\left(x\right)^{2} - 5 \, b^{6} x - 2 \, a^{4} b^{2} - 6 \, a^{2} b^{4} + 18 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{8} - 40 \, {\left(3 \, a^{5} b + 8 \, a^{3} b^{3} + 6 \, a b^{5}\right)} \cosh\left(x\right)^{7} + 40 \, {\left(45 \, b^{6} x \cosh\left(x\right)^{3} - 3 \, a^{5} b - 8 \, a^{3} b^{3} - 6 \, a b^{5} + 27 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(5 \, b^{6} x + 2 \, a^{4} b^{2} + 6 \, a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - 15 \, b^{6} x + 30 \, {\left(5 \, b^{6} x + 3 \, a^{4} b^{2} + 7 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{6} + 10 \, {\left(315 \, b^{6} x \cosh\left(x\right)^{4} + 15 \, b^{6} x + 9 \, a^{4} b^{2} + 21 \, a^{2} b^{4} + 252 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{3} - 42 \, {\left(5 \, b^{6} x + 2 \, a^{4} b^{2} + 6 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2} - 28 \, {\left(3 \, a^{5} b + 8 \, a^{3} b^{3} + 6 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{6} + 4 \, {\left(45 \, a^{5} b + 115 \, a^{3} b^{3} + 99 \, a b^{5}\right)} \cosh\left(x\right)^{5} + 4 \, {\left(945 \, b^{6} x \cosh\left(x\right)^{5} + 45 \, a^{5} b + 115 \, a^{3} b^{3} + 99 \, a b^{5} + 945 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{4} - 210 \, {\left(5 \, b^{6} x + 2 \, a^{4} b^{2} + 6 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} - 210 \, {\left(3 \, a^{5} b + 8 \, a^{3} b^{3} + 6 \, a b^{5}\right)} \cosh\left(x\right)^{2} + 45 \, {\left(5 \, b^{6} x + 3 \, a^{4} b^{2} + 7 \, a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 30 \, {\left(5 \, b^{6} x + 3 \, a^{4} b^{2} + 7 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(315 \, b^{6} x \cosh\left(x\right)^{6} - 15 \, b^{6} x - 9 \, a^{4} b^{2} - 21 \, a^{2} b^{4} + 378 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{5} - 105 \, {\left(5 \, b^{6} x + 2 \, a^{4} b^{2} + 6 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{4} - 140 \, {\left(3 \, a^{5} b + 8 \, a^{3} b^{3} + 6 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 45 \, {\left(5 \, b^{6} x + 3 \, a^{4} b^{2} + 7 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2} + 2 \, {\left(45 \, a^{5} b + 115 \, a^{3} b^{3} + 99 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{4} - 40 \, {\left(3 \, a^{5} b + 8 \, a^{3} b^{3} + 6 \, a b^{5}\right)} \cosh\left(x\right)^{3} + 40 \, {\left(45 \, b^{6} x \cosh\left(x\right)^{7} + 63 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{6} - 3 \, a^{5} b - 8 \, a^{3} b^{3} - 6 \, a b^{5} - 21 \, {\left(5 \, b^{6} x + 2 \, a^{4} b^{2} + 6 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{5} - 35 \, {\left(3 \, a^{5} b + 8 \, a^{3} b^{3} + 6 \, a b^{5}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(5 \, b^{6} x + 3 \, a^{4} b^{2} + 7 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} + {\left(45 \, a^{5} b + 115 \, a^{3} b^{3} + 99 \, a b^{5}\right)} \cosh\left(x\right)^{2} - 3 \, {\left(5 \, b^{6} x + 3 \, a^{4} b^{2} + 7 \, a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 15 \, {\left(5 \, b^{6} x + 2 \, a^{4} b^{2} + 6 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(135 \, b^{6} x \cosh\left(x\right)^{8} + 216 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{7} + 15 \, b^{6} x - 84 \, {\left(5 \, b^{6} x + 2 \, a^{4} b^{2} + 6 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{6} + 6 \, a^{4} b^{2} + 18 \, a^{2} b^{4} - 168 \, {\left(3 \, a^{5} b + 8 \, a^{3} b^{3} + 6 \, a b^{5}\right)} \cosh\left(x\right)^{5} + 90 \, {\left(5 \, b^{6} x + 3 \, a^{4} b^{2} + 7 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{4} + 8 \, {\left(45 \, a^{5} b + 115 \, a^{3} b^{3} + 99 \, a b^{5}\right)} \cosh\left(x\right)^{3} - 36 \, {\left(5 \, b^{6} x + 3 \, a^{4} b^{2} + 7 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2} - 24 \, {\left(3 \, a^{5} b + 8 \, a^{3} b^{3} + 6 \, a b^{5}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{2} + 30 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right) - 15 \, {\left({\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{10} + 10 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \sinh\left(x\right)^{10} - 5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{8} - 5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} - 9 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 40 \, {\left(3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} - {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{6} + 10 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 21 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} - 14 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} - a^{6} - 3 \, a^{4} b^{2} - 3 \, a^{2} b^{4} - b^{6} + 4 \, {\left(63 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{5} - 70 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 10 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(21 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{6} - a^{6} - 3 \, a^{4} b^{2} - 3 \, a^{2} b^{4} - b^{6} - 35 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{7} - 7 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} - {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{8} - 28 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{6} + a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6} + 30 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 10 \, {\left({\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{9} - 4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{5} - 4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, {\left(a \sinh\left(x\right) + b\right)}}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 15 \, {\left({\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{10} + 10 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right) \sinh\left(x\right)^{9} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \sinh\left(x\right)^{10} - 5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{8} - 5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - 9 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{8} + 40 \, {\left(3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} - {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} + 10 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{6} + 10 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + 21 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{4} - 14 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{6} - a^{6} - 3 \, a^{4} b^{2} - 3 \, a^{2} b^{4} + 4 \, {\left(63 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{5} - 70 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} + 15 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} - 10 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{4} + 10 \, {\left(21 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{6} - a^{6} - 3 \, a^{4} b^{2} - 3 \, a^{2} b^{4} - 35 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{4} + 15 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{7} - 7 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{5} + 5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} - {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{8} - 28 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{6} + a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + 30 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{2}\right)} \sinh\left(x\right)^{2} + 10 \, {\left({\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{9} - 4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{7} + 6 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{5} - 4 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} + {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)} \log\left(\frac{2 \, \sinh\left(x\right)}{\cosh\left(x\right) - \sinh\left(x\right)}\right) + 10 \, {\left(15 \, b^{6} x \cosh\left(x\right)^{9} + 27 \, {\left(a^{5} b + 3 \, a^{3} b^{3} + 3 \, a b^{5}\right)} \cosh\left(x\right)^{8} - 12 \, {\left(5 \, b^{6} x + 2 \, a^{4} b^{2} + 6 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{7} - 28 \, {\left(3 \, a^{5} b + 8 \, a^{3} b^{3} + 6 \, a b^{5}\right)} \cosh\left(x\right)^{6} + 3 \, a^{5} b + 9 \, a^{3} b^{3} + 9 \, a b^{5} + 18 \, {\left(5 \, b^{6} x + 3 \, a^{4} b^{2} + 7 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{5} + 2 \, {\left(45 \, a^{5} b + 115 \, a^{3} b^{3} + 99 \, a b^{5}\right)} \cosh\left(x\right)^{4} - 12 \, {\left(5 \, b^{6} x + 3 \, a^{4} b^{2} + 7 \, a^{2} b^{4}\right)} \cosh\left(x\right)^{3} - 12 \, {\left(3 \, a^{5} b + 8 \, a^{3} b^{3} + 6 \, a b^{5}\right)} \cosh\left(x\right)^{2} + 3 \, {\left(5 \, b^{6} x + 2 \, a^{4} b^{2} + 6 \, a^{2} b^{4}\right)} \cosh\left(x\right)\right)} \sinh\left(x\right)}{15 \, {\left(a b^{6} \cosh\left(x\right)^{10} + 10 \, a b^{6} \cosh\left(x\right) \sinh\left(x\right)^{9} + a b^{6} \sinh\left(x\right)^{10} - 5 \, a b^{6} \cosh\left(x\right)^{8} + 10 \, a b^{6} \cosh\left(x\right)^{6} - 10 \, a b^{6} \cosh\left(x\right)^{4} + 5 \, a b^{6} \cosh\left(x\right)^{2} + 5 \, {\left(9 \, a b^{6} \cosh\left(x\right)^{2} - a b^{6}\right)} \sinh\left(x\right)^{8} + 40 \, {\left(3 \, a b^{6} \cosh\left(x\right)^{3} - a b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{7} - a b^{6} + 10 \, {\left(21 \, a b^{6} \cosh\left(x\right)^{4} - 14 \, a b^{6} \cosh\left(x\right)^{2} + a b^{6}\right)} \sinh\left(x\right)^{6} + 4 \, {\left(63 \, a b^{6} \cosh\left(x\right)^{5} - 70 \, a b^{6} \cosh\left(x\right)^{3} + 15 \, a b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{5} + 10 \, {\left(21 \, a b^{6} \cosh\left(x\right)^{6} - 35 \, a b^{6} \cosh\left(x\right)^{4} + 15 \, a b^{6} \cosh\left(x\right)^{2} - a b^{6}\right)} \sinh\left(x\right)^{4} + 40 \, {\left(3 \, a b^{6} \cosh\left(x\right)^{7} - 7 \, a b^{6} \cosh\left(x\right)^{5} + 5 \, a b^{6} \cosh\left(x\right)^{3} - a b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)^{3} + 5 \, {\left(9 \, a b^{6} \cosh\left(x\right)^{8} - 28 \, a b^{6} \cosh\left(x\right)^{6} + 30 \, a b^{6} \cosh\left(x\right)^{4} - 12 \, a b^{6} \cosh\left(x\right)^{2} + a b^{6}\right)} \sinh\left(x\right)^{2} + 10 \, {\left(a b^{6} \cosh\left(x\right)^{9} - 4 \, a b^{6} \cosh\left(x\right)^{7} + 6 \, a b^{6} \cosh\left(x\right)^{5} - 4 \, a b^{6} \cosh\left(x\right)^{3} + a b^{6} \cosh\left(x\right)\right)} \sinh\left(x\right)\right)}}"," ",0,"-1/15*(15*b^6*x*cosh(x)^10 + 15*b^6*x*sinh(x)^10 + 30*(a^5*b + 3*a^3*b^3 + 3*a*b^5)*cosh(x)^9 + 30*(5*b^6*x*cosh(x) + a^5*b + 3*a^3*b^3 + 3*a*b^5)*sinh(x)^9 - 15*(5*b^6*x + 2*a^4*b^2 + 6*a^2*b^4)*cosh(x)^8 + 15*(45*b^6*x*cosh(x)^2 - 5*b^6*x - 2*a^4*b^2 - 6*a^2*b^4 + 18*(a^5*b + 3*a^3*b^3 + 3*a*b^5)*cosh(x))*sinh(x)^8 - 40*(3*a^5*b + 8*a^3*b^3 + 6*a*b^5)*cosh(x)^7 + 40*(45*b^6*x*cosh(x)^3 - 3*a^5*b - 8*a^3*b^3 - 6*a*b^5 + 27*(a^5*b + 3*a^3*b^3 + 3*a*b^5)*cosh(x)^2 - 3*(5*b^6*x + 2*a^4*b^2 + 6*a^2*b^4)*cosh(x))*sinh(x)^7 - 15*b^6*x + 30*(5*b^6*x + 3*a^4*b^2 + 7*a^2*b^4)*cosh(x)^6 + 10*(315*b^6*x*cosh(x)^4 + 15*b^6*x + 9*a^4*b^2 + 21*a^2*b^4 + 252*(a^5*b + 3*a^3*b^3 + 3*a*b^5)*cosh(x)^3 - 42*(5*b^6*x + 2*a^4*b^2 + 6*a^2*b^4)*cosh(x)^2 - 28*(3*a^5*b + 8*a^3*b^3 + 6*a*b^5)*cosh(x))*sinh(x)^6 + 4*(45*a^5*b + 115*a^3*b^3 + 99*a*b^5)*cosh(x)^5 + 4*(945*b^6*x*cosh(x)^5 + 45*a^5*b + 115*a^3*b^3 + 99*a*b^5 + 945*(a^5*b + 3*a^3*b^3 + 3*a*b^5)*cosh(x)^4 - 210*(5*b^6*x + 2*a^4*b^2 + 6*a^2*b^4)*cosh(x)^3 - 210*(3*a^5*b + 8*a^3*b^3 + 6*a*b^5)*cosh(x)^2 + 45*(5*b^6*x + 3*a^4*b^2 + 7*a^2*b^4)*cosh(x))*sinh(x)^5 - 30*(5*b^6*x + 3*a^4*b^2 + 7*a^2*b^4)*cosh(x)^4 + 10*(315*b^6*x*cosh(x)^6 - 15*b^6*x - 9*a^4*b^2 - 21*a^2*b^4 + 378*(a^5*b + 3*a^3*b^3 + 3*a*b^5)*cosh(x)^5 - 105*(5*b^6*x + 2*a^4*b^2 + 6*a^2*b^4)*cosh(x)^4 - 140*(3*a^5*b + 8*a^3*b^3 + 6*a*b^5)*cosh(x)^3 + 45*(5*b^6*x + 3*a^4*b^2 + 7*a^2*b^4)*cosh(x)^2 + 2*(45*a^5*b + 115*a^3*b^3 + 99*a*b^5)*cosh(x))*sinh(x)^4 - 40*(3*a^5*b + 8*a^3*b^3 + 6*a*b^5)*cosh(x)^3 + 40*(45*b^6*x*cosh(x)^7 + 63*(a^5*b + 3*a^3*b^3 + 3*a*b^5)*cosh(x)^6 - 3*a^5*b - 8*a^3*b^3 - 6*a*b^5 - 21*(5*b^6*x + 2*a^4*b^2 + 6*a^2*b^4)*cosh(x)^5 - 35*(3*a^5*b + 8*a^3*b^3 + 6*a*b^5)*cosh(x)^4 + 15*(5*b^6*x + 3*a^4*b^2 + 7*a^2*b^4)*cosh(x)^3 + (45*a^5*b + 115*a^3*b^3 + 99*a*b^5)*cosh(x)^2 - 3*(5*b^6*x + 3*a^4*b^2 + 7*a^2*b^4)*cosh(x))*sinh(x)^3 + 15*(5*b^6*x + 2*a^4*b^2 + 6*a^2*b^4)*cosh(x)^2 + 5*(135*b^6*x*cosh(x)^8 + 216*(a^5*b + 3*a^3*b^3 + 3*a*b^5)*cosh(x)^7 + 15*b^6*x - 84*(5*b^6*x + 2*a^4*b^2 + 6*a^2*b^4)*cosh(x)^6 + 6*a^4*b^2 + 18*a^2*b^4 - 168*(3*a^5*b + 8*a^3*b^3 + 6*a*b^5)*cosh(x)^5 + 90*(5*b^6*x + 3*a^4*b^2 + 7*a^2*b^4)*cosh(x)^4 + 8*(45*a^5*b + 115*a^3*b^3 + 99*a*b^5)*cosh(x)^3 - 36*(5*b^6*x + 3*a^4*b^2 + 7*a^2*b^4)*cosh(x)^2 - 24*(3*a^5*b + 8*a^3*b^3 + 6*a*b^5)*cosh(x))*sinh(x)^2 + 30*(a^5*b + 3*a^3*b^3 + 3*a*b^5)*cosh(x) - 15*((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^10 + 10*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)*sinh(x)^9 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*sinh(x)^10 - 5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^8 - 5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 - 9*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2)*sinh(x)^8 + 40*(3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^3 - (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x))*sinh(x)^7 + 10*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^6 + 10*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 21*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^4 - 14*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2)*sinh(x)^6 - a^6 - 3*a^4*b^2 - 3*a^2*b^4 - b^6 + 4*(63*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^5 - 70*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^3 + 15*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x))*sinh(x)^5 - 10*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^4 + 10*(21*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^6 - a^6 - 3*a^4*b^2 - 3*a^2*b^4 - b^6 - 35*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^4 + 15*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2)*sinh(x)^4 + 40*(3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^7 - 7*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^5 + 5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^3 - (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x))*sinh(x)^3 + 5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2 + 5*(9*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^8 - 28*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^6 + a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6 + 30*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^4 - 12*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^2)*sinh(x)^2 + 10*((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^9 - 4*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^7 + 6*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^5 - 4*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x)^3 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*cosh(x))*sinh(x))*log(2*(a*sinh(x) + b)/(cosh(x) - sinh(x))) + 15*((a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^10 + 10*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)*sinh(x)^9 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4)*sinh(x)^10 - 5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^8 - 5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 - 9*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^2)*sinh(x)^8 + 40*(3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^3 - (a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x))*sinh(x)^7 + 10*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^6 + 10*(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + 21*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^4 - 14*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^2)*sinh(x)^6 - a^6 - 3*a^4*b^2 - 3*a^2*b^4 + 4*(63*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^5 - 70*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^3 + 15*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x))*sinh(x)^5 - 10*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^4 + 10*(21*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^6 - a^6 - 3*a^4*b^2 - 3*a^2*b^4 - 35*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^4 + 15*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^2)*sinh(x)^4 + 40*(3*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^7 - 7*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^5 + 5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^3 - (a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x))*sinh(x)^3 + 5*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^2 + 5*(9*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^8 - 28*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^6 + a^6 + 3*a^4*b^2 + 3*a^2*b^4 + 30*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^4 - 12*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^2)*sinh(x)^2 + 10*((a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^9 - 4*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^7 + 6*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^5 - 4*(a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x)^3 + (a^6 + 3*a^4*b^2 + 3*a^2*b^4)*cosh(x))*sinh(x))*log(2*sinh(x)/(cosh(x) - sinh(x))) + 10*(15*b^6*x*cosh(x)^9 + 27*(a^5*b + 3*a^3*b^3 + 3*a*b^5)*cosh(x)^8 - 12*(5*b^6*x + 2*a^4*b^2 + 6*a^2*b^4)*cosh(x)^7 - 28*(3*a^5*b + 8*a^3*b^3 + 6*a*b^5)*cosh(x)^6 + 3*a^5*b + 9*a^3*b^3 + 9*a*b^5 + 18*(5*b^6*x + 3*a^4*b^2 + 7*a^2*b^4)*cosh(x)^5 + 2*(45*a^5*b + 115*a^3*b^3 + 99*a*b^5)*cosh(x)^4 - 12*(5*b^6*x + 3*a^4*b^2 + 7*a^2*b^4)*cosh(x)^3 - 12*(3*a^5*b + 8*a^3*b^3 + 6*a*b^5)*cosh(x)^2 + 3*(5*b^6*x + 2*a^4*b^2 + 6*a^2*b^4)*cosh(x))*sinh(x))/(a*b^6*cosh(x)^10 + 10*a*b^6*cosh(x)*sinh(x)^9 + a*b^6*sinh(x)^10 - 5*a*b^6*cosh(x)^8 + 10*a*b^6*cosh(x)^6 - 10*a*b^6*cosh(x)^4 + 5*a*b^6*cosh(x)^2 + 5*(9*a*b^6*cosh(x)^2 - a*b^6)*sinh(x)^8 + 40*(3*a*b^6*cosh(x)^3 - a*b^6*cosh(x))*sinh(x)^7 - a*b^6 + 10*(21*a*b^6*cosh(x)^4 - 14*a*b^6*cosh(x)^2 + a*b^6)*sinh(x)^6 + 4*(63*a*b^6*cosh(x)^5 - 70*a*b^6*cosh(x)^3 + 15*a*b^6*cosh(x))*sinh(x)^5 + 10*(21*a*b^6*cosh(x)^6 - 35*a*b^6*cosh(x)^4 + 15*a*b^6*cosh(x)^2 - a*b^6)*sinh(x)^4 + 40*(3*a*b^6*cosh(x)^7 - 7*a*b^6*cosh(x)^5 + 5*a*b^6*cosh(x)^3 - a*b^6*cosh(x))*sinh(x)^3 + 5*(9*a*b^6*cosh(x)^8 - 28*a*b^6*cosh(x)^6 + 30*a*b^6*cosh(x)^4 - 12*a*b^6*cosh(x)^2 + a*b^6)*sinh(x)^2 + 10*(a*b^6*cosh(x)^9 - 4*a*b^6*cosh(x)^7 + 6*a*b^6*cosh(x)^5 - 4*a*b^6*cosh(x)^3 + a*b^6*cosh(x))*sinh(x))","B",0
125,1,592,0,0.635131," ","integrate(exp(c*(b*x+a))*(csch(b*c*x+a*c)^2)^(7/2),x, algorithm=""fricas"")","-\frac{16 \, {\left(19 \, \cosh\left(b c x + a c\right)^{3} + 57 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{2} + 21 \, \sinh\left(b c x + a c\right)^{3} + 21 \, {\left(3 \, \cosh\left(b c x + a c\right)^{2} - 1\right)} \sinh\left(b c x + a c\right) - 9 \, \cosh\left(b c x + a c\right)\right)}}{15 \, {\left(b c \cosh\left(b c x + a c\right)^{9} + 9 \, b c \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{8} + b c \sinh\left(b c x + a c\right)^{9} - 6 \, b c \cosh\left(b c x + a c\right)^{7} + 6 \, {\left(6 \, b c \cosh\left(b c x + a c\right)^{2} - b c\right)} \sinh\left(b c x + a c\right)^{7} + 15 \, b c \cosh\left(b c x + a c\right)^{5} + 42 \, {\left(2 \, b c \cosh\left(b c x + a c\right)^{3} - b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{6} + 3 \, {\left(42 \, b c \cosh\left(b c x + a c\right)^{4} - 42 \, b c \cosh\left(b c x + a c\right)^{2} + 5 \, b c\right)} \sinh\left(b c x + a c\right)^{5} - 19 \, b c \cosh\left(b c x + a c\right)^{3} + 3 \, {\left(42 \, b c \cosh\left(b c x + a c\right)^{5} - 70 \, b c \cosh\left(b c x + a c\right)^{3} + 25 \, b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{4} + 3 \, {\left(28 \, b c \cosh\left(b c x + a c\right)^{6} - 70 \, b c \cosh\left(b c x + a c\right)^{4} + 50 \, b c \cosh\left(b c x + a c\right)^{2} - 7 \, b c\right)} \sinh\left(b c x + a c\right)^{3} + 9 \, b c \cosh\left(b c x + a c\right) + 3 \, {\left(12 \, b c \cosh\left(b c x + a c\right)^{7} - 42 \, b c \cosh\left(b c x + a c\right)^{5} + 50 \, b c \cosh\left(b c x + a c\right)^{3} - 19 \, b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{2} + 3 \, {\left(3 \, b c \cosh\left(b c x + a c\right)^{8} - 14 \, b c \cosh\left(b c x + a c\right)^{6} + 25 \, b c \cosh\left(b c x + a c\right)^{4} - 21 \, b c \cosh\left(b c x + a c\right)^{2} + 7 \, b c\right)} \sinh\left(b c x + a c\right)\right)}}"," ",0,"-16/15*(19*cosh(b*c*x + a*c)^3 + 57*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^2 + 21*sinh(b*c*x + a*c)^3 + 21*(3*cosh(b*c*x + a*c)^2 - 1)*sinh(b*c*x + a*c) - 9*cosh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c)^9 + 9*b*c*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^8 + b*c*sinh(b*c*x + a*c)^9 - 6*b*c*cosh(b*c*x + a*c)^7 + 6*(6*b*c*cosh(b*c*x + a*c)^2 - b*c)*sinh(b*c*x + a*c)^7 + 15*b*c*cosh(b*c*x + a*c)^5 + 42*(2*b*c*cosh(b*c*x + a*c)^3 - b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^6 + 3*(42*b*c*cosh(b*c*x + a*c)^4 - 42*b*c*cosh(b*c*x + a*c)^2 + 5*b*c)*sinh(b*c*x + a*c)^5 - 19*b*c*cosh(b*c*x + a*c)^3 + 3*(42*b*c*cosh(b*c*x + a*c)^5 - 70*b*c*cosh(b*c*x + a*c)^3 + 25*b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^4 + 3*(28*b*c*cosh(b*c*x + a*c)^6 - 70*b*c*cosh(b*c*x + a*c)^4 + 50*b*c*cosh(b*c*x + a*c)^2 - 7*b*c)*sinh(b*c*x + a*c)^3 + 9*b*c*cosh(b*c*x + a*c) + 3*(12*b*c*cosh(b*c*x + a*c)^7 - 42*b*c*cosh(b*c*x + a*c)^5 + 50*b*c*cosh(b*c*x + a*c)^3 - 19*b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^2 + 3*(3*b*c*cosh(b*c*x + a*c)^8 - 14*b*c*cosh(b*c*x + a*c)^6 + 25*b*c*cosh(b*c*x + a*c)^4 - 21*b*c*cosh(b*c*x + a*c)^2 + 7*b*c)*sinh(b*c*x + a*c))","B",0
126,1,315,0,1.976833," ","integrate(exp(c*(b*x+a))*(csch(b*c*x+a*c)^2)^(5/2),x, algorithm=""fricas"")","-\frac{4 \, {\left(7 \, \cosh\left(b c x + a c\right)^{2} + 10 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right) + 7 \, \sinh\left(b c x + a c\right)^{2} - 4\right)}}{3 \, {\left(b c \cosh\left(b c x + a c\right)^{6} + 6 \, b c \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{5} + b c \sinh\left(b c x + a c\right)^{6} - 4 \, b c \cosh\left(b c x + a c\right)^{4} + {\left(15 \, b c \cosh\left(b c x + a c\right)^{2} - 4 \, b c\right)} \sinh\left(b c x + a c\right)^{4} + 7 \, b c \cosh\left(b c x + a c\right)^{2} + 4 \, {\left(5 \, b c \cosh\left(b c x + a c\right)^{3} - 4 \, b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{3} + {\left(15 \, b c \cosh\left(b c x + a c\right)^{4} - 24 \, b c \cosh\left(b c x + a c\right)^{2} + 7 \, b c\right)} \sinh\left(b c x + a c\right)^{2} - 4 \, b c + 2 \, {\left(3 \, b c \cosh\left(b c x + a c\right)^{5} - 8 \, b c \cosh\left(b c x + a c\right)^{3} + 5 \, b c \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)\right)}}"," ",0,"-4/3*(7*cosh(b*c*x + a*c)^2 + 10*cosh(b*c*x + a*c)*sinh(b*c*x + a*c) + 7*sinh(b*c*x + a*c)^2 - 4)/(b*c*cosh(b*c*x + a*c)^6 + 6*b*c*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^5 + b*c*sinh(b*c*x + a*c)^6 - 4*b*c*cosh(b*c*x + a*c)^4 + (15*b*c*cosh(b*c*x + a*c)^2 - 4*b*c)*sinh(b*c*x + a*c)^4 + 7*b*c*cosh(b*c*x + a*c)^2 + 4*(5*b*c*cosh(b*c*x + a*c)^3 - 4*b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^3 + (15*b*c*cosh(b*c*x + a*c)^4 - 24*b*c*cosh(b*c*x + a*c)^2 + 7*b*c)*sinh(b*c*x + a*c)^2 - 4*b*c + 2*(3*b*c*cosh(b*c*x + a*c)^5 - 8*b*c*cosh(b*c*x + a*c)^3 + 5*b*c*cosh(b*c*x + a*c))*sinh(b*c*x + a*c))","B",0
127,1,121,0,1.059757," ","integrate(exp(c*(b*x+a))*(csch(b*c*x+a*c)^2)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(\cosh\left(b c x + a c\right) + 3 \, \sinh\left(b c x + a c\right)\right)}}{b c \cosh\left(b c x + a c\right)^{3} + 3 \, b c \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{2} + b c \sinh\left(b c x + a c\right)^{3} - b c \cosh\left(b c x + a c\right) + 3 \, {\left(b c \cosh\left(b c x + a c\right)^{2} - b c\right)} \sinh\left(b c x + a c\right)}"," ",0,"-2*(cosh(b*c*x + a*c) + 3*sinh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c)^3 + 3*b*c*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^2 + b*c*sinh(b*c*x + a*c)^3 - b*c*cosh(b*c*x + a*c) + 3*(b*c*cosh(b*c*x + a*c)^2 - b*c)*sinh(b*c*x + a*c))","B",0
128,1,42,0,0.450920," ","integrate(exp(c*(b*x+a))*(csch(b*c*x+a*c)^2)^(1/2),x, algorithm=""fricas"")","\frac{\log\left(\frac{2 \, \sinh\left(b c x + a c\right)}{\cosh\left(b c x + a c\right) - \sinh\left(b c x + a c\right)}\right)}{b c}"," ",0,"log(2*sinh(b*c*x + a*c)/(cosh(b*c*x + a*c) - sinh(b*c*x + a*c)))/(b*c)","A",0
129,1,66,0,0.594297," ","integrate(exp(c*(b*x+a))/(csch(b*c*x+a*c)^2)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, b c x - 1\right)} \cosh\left(b c x + a c\right) - {\left(2 \, b c x + 1\right)} \sinh\left(b c x + a c\right)}{4 \, {\left(b c \cosh\left(b c x + a c\right) - b c \sinh\left(b c x + a c\right)\right)}}"," ",0,"-1/4*((2*b*c*x - 1)*cosh(b*c*x + a*c) - (2*b*c*x + 1)*sinh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c) - b*c*sinh(b*c*x + a*c))","A",0
130,1,126,0,0.608931," ","integrate(exp(c*(b*x+a))/(csch(b*c*x+a*c)^2)^(3/2),x, algorithm=""fricas"")","\frac{3 \, \cosh\left(b c x + a c\right)^{3} + 9 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{2} - \sinh\left(b c x + a c\right)^{3} + 6 \, {\left(2 \, b c x - 1\right)} \cosh\left(b c x + a c\right) - 3 \, {\left(4 \, b c x + \cosh\left(b c x + a c\right)^{2} + 2\right)} \sinh\left(b c x + a c\right)}{32 \, {\left(b c \cosh\left(b c x + a c\right) - b c \sinh\left(b c x + a c\right)\right)}}"," ",0,"1/32*(3*cosh(b*c*x + a*c)^3 + 9*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^2 - sinh(b*c*x + a*c)^3 + 6*(2*b*c*x - 1)*cosh(b*c*x + a*c) - 3*(4*b*c*x + cosh(b*c*x + a*c)^2 + 2)*sinh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c) - b*c*sinh(b*c*x + a*c))","A",0
131,1,218,0,2.046276," ","integrate(exp(c*(b*x+a))/(csch(b*c*x+a*c)^2)^(5/2),x, algorithm=""fricas"")","\frac{5 \, \cosh\left(b c x + a c\right)^{5} + 25 \, \cosh\left(b c x + a c\right) \sinh\left(b c x + a c\right)^{4} - \sinh\left(b c x + a c\right)^{5} - 5 \, {\left(2 \, \cosh\left(b c x + a c\right)^{2} - 3\right)} \sinh\left(b c x + a c\right)^{3} - 45 \, \cosh\left(b c x + a c\right)^{3} + 5 \, {\left(10 \, \cosh\left(b c x + a c\right)^{3} - 27 \, \cosh\left(b c x + a c\right)\right)} \sinh\left(b c x + a c\right)^{2} - 60 \, {\left(2 \, b c x - 1\right)} \cosh\left(b c x + a c\right) - 5 \, {\left(\cosh\left(b c x + a c\right)^{4} - 24 \, b c x - 9 \, \cosh\left(b c x + a c\right)^{2} - 12\right)} \sinh\left(b c x + a c\right)}{384 \, {\left(b c \cosh\left(b c x + a c\right) - b c \sinh\left(b c x + a c\right)\right)}}"," ",0,"1/384*(5*cosh(b*c*x + a*c)^5 + 25*cosh(b*c*x + a*c)*sinh(b*c*x + a*c)^4 - sinh(b*c*x + a*c)^5 - 5*(2*cosh(b*c*x + a*c)^2 - 3)*sinh(b*c*x + a*c)^3 - 45*cosh(b*c*x + a*c)^3 + 5*(10*cosh(b*c*x + a*c)^3 - 27*cosh(b*c*x + a*c))*sinh(b*c*x + a*c)^2 - 60*(2*b*c*x - 1)*cosh(b*c*x + a*c) - 5*(cosh(b*c*x + a*c)^4 - 24*b*c*x - 9*cosh(b*c*x + a*c)^2 - 12)*sinh(b*c*x + a*c))/(b*c*cosh(b*c*x + a*c) - b*c*sinh(b*c*x + a*c))","A",0
132,0,0,0,2.016924," ","integrate(x^5/csch(2*log(c*x))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{5}}{\sqrt{\operatorname{csch}\left(2 \, \log\left(c x\right)\right)}}, x\right)"," ",0,"integral(x^5/sqrt(csch(2*log(c*x))), x)","F",0
133,1,48,0,1.213181," ","integrate(x^4/csch(2*log(c*x))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(c^{8} x^{8} - 2 \, c^{4} x^{4} + 1\right)} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}}}{12 \, c^{6} x}"," ",0,"1/12*sqrt(2)*(c^8*x^8 - 2*c^4*x^4 + 1)*sqrt(c^2*x^2/(c^4*x^4 - 1))/(c^6*x)","A",0
134,0,0,0,1.990211," ","integrate(x^3/csch(2*log(c*x))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{3}}{\sqrt{\operatorname{csch}\left(2 \, \log\left(c x\right)\right)}}, x\right)"," ",0,"integral(x^3/sqrt(csch(2*log(c*x))), x)","F",0
135,1,92,0,1.664393," ","integrate(x^2/csch(2*log(c*x))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{2} {\left(c^{5} x^{5} - c x\right)} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}} + \sqrt{2} \log\left(2 \, c^{4} x^{4} - 2 \, {\left(c^{5} x^{5} - c x\right)} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}} - 1\right)}{16 \, c^{3}}"," ",0,"1/16*(2*sqrt(2)*(c^5*x^5 - c*x)*sqrt(c^2*x^2/(c^4*x^4 - 1)) + sqrt(2)*log(2*c^4*x^4 - 2*(c^5*x^5 - c*x)*sqrt(c^2*x^2/(c^4*x^4 - 1)) - 1))/c^3","A",0
136,0,0,0,0.971389," ","integrate(x/csch(2*log(c*x))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x}{\sqrt{\operatorname{csch}\left(2 \, \log\left(c x\right)\right)}}, x\right)"," ",0,"integral(x/sqrt(csch(2*log(c*x))), x)","F",0
137,1,86,0,0.709124," ","integrate(1/csch(2*log(c*x))^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{2} c x \arctan\left(\frac{{\left(c^{4} x^{4} - 1\right)} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}}}{c x}\right) - \sqrt{2} {\left(c^{4} x^{4} - 1\right)} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}}}{4 \, c^{2} x}"," ",0,"-1/4*(sqrt(2)*c*x*arctan((c^4*x^4 - 1)*sqrt(c^2*x^2/(c^4*x^4 - 1))/(c*x)) - sqrt(2)*(c^4*x^4 - 1)*sqrt(c^2*x^2/(c^4*x^4 - 1)))/(c^2*x)","A",0
138,0,0,0,0.606715," ","integrate(csch(2*log(c*x))^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\operatorname{csch}\left(2 \, \log\left(c x\right)\right)}}{x}, x\right)"," ",0,"integral(sqrt(csch(2*log(c*x)))/x, x)","F",0
139,1,43,0,0.464523," ","integrate(csch(2*log(c*x))^(1/2)/x^2,x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2} c \arctan\left(\frac{{\left(c^{4} x^{4} - 1\right)} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}}}{c x}\right)"," ",0,"1/2*sqrt(2)*c*arctan((c^4*x^4 - 1)*sqrt(c^2*x^2/(c^4*x^4 - 1))/(c*x))","A",0
140,0,0,0,0.457192," ","integrate(csch(2*log(c*x))^(1/2)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\operatorname{csch}\left(2 \, \log\left(c x\right)\right)}}{x^{3}}, x\right)"," ",0,"integral(sqrt(csch(2*log(c*x)))/x^3, x)","F",0
141,1,37,0,0.461241," ","integrate(csch(2*log(c*x))^(1/2)/x^4,x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(c^{4} x^{4} - 1\right)} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}}}{2 \, x^{3}}"," ",0,"1/2*sqrt(2)*(c^4*x^4 - 1)*sqrt(c^2*x^2/(c^4*x^4 - 1))/x^3","A",0
142,0,0,0,0.593350," ","integrate(csch(2*log(c*x))^(1/2)/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\operatorname{csch}\left(2 \, \log\left(c x\right)\right)}}{x^{5}}, x\right)"," ",0,"integral(sqrt(csch(2*log(c*x)))/x^5, x)","F",0
143,1,110,0,0.426016," ","integrate(x^8/csch(2*log(c*x))^(3/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{2} {\left(8 \, c^{13} x^{13} - 22 \, c^{9} x^{9} + 17 \, c^{5} x^{5} - 3 \, c x\right)} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}} + 3 \, \sqrt{2} \log\left(2 \, c^{4} x^{4} + 2 \, {\left(c^{5} x^{5} - c x\right)} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}} - 1\right)}{768 \, c^{9}}"," ",0,"1/768*(2*sqrt(2)*(8*c^13*x^13 - 22*c^9*x^9 + 17*c^5*x^5 - 3*c*x)*sqrt(c^2*x^2/(c^4*x^4 - 1)) + 3*sqrt(2)*log(2*c^4*x^4 + 2*(c^5*x^5 - c*x)*sqrt(c^2*x^2/(c^4*x^4 - 1)) - 1))/c^9","A",0
144,0,0,0,0.458555," ","integrate(x^7/csch(2*log(c*x))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{7}}{\operatorname{csch}\left(2 \, \log\left(c x\right)\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral(x^7/csch(2*log(c*x))^(3/2), x)","F",0
145,1,56,0,1.027911," ","integrate(x^6/csch(2*log(c*x))^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{2} {\left(c^{12} x^{12} - 3 \, c^{8} x^{8} + 3 \, c^{4} x^{4} - 1\right)} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}}}{40 \, c^{8} x}"," ",0,"1/40*sqrt(2)*(c^12*x^12 - 3*c^8*x^8 + 3*c^4*x^4 - 1)*sqrt(c^2*x^2/(c^4*x^4 - 1))/(c^8*x)","B",0
146,0,0,0,0.539206," ","integrate(x^5/csch(2*log(c*x))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{5}}{\operatorname{csch}\left(2 \, \log\left(c x\right)\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral(x^5/csch(2*log(c*x))^(3/2), x)","F",0
147,1,102,0,0.621733," ","integrate(x^4/csch(2*log(c*x))^(3/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{2} {\left(2 \, c^{9} x^{9} - 7 \, c^{5} x^{5} + 5 \, c x\right)} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}} + 3 \, \sqrt{2} \log\left(2 \, c^{4} x^{4} + 2 \, {\left(c^{5} x^{5} - c x\right)} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}} - 1\right)}{128 \, c^{5}}"," ",0,"1/128*(2*sqrt(2)*(2*c^9*x^9 - 7*c^5*x^5 + 5*c*x)*sqrt(c^2*x^2/(c^4*x^4 - 1)) + 3*sqrt(2)*log(2*c^4*x^4 + 2*(c^5*x^5 - c*x)*sqrt(c^2*x^2/(c^4*x^4 - 1)) - 1))/c^5","A",0
148,0,0,0,0.564752," ","integrate(x^3/csch(2*log(c*x))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{3}}{\operatorname{csch}\left(2 \, \log\left(c x\right)\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral(x^3/csch(2*log(c*x))^(3/2), x)","F",0
149,1,94,0,0.658049," ","integrate(x^2/csch(2*log(c*x))^(3/2),x, algorithm=""fricas"")","\frac{3 \, \sqrt{2} c x \arctan\left(\frac{{\left(c^{4} x^{4} - 1\right)} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}}}{c x}\right) + \sqrt{2} {\left(c^{8} x^{8} - 5 \, c^{4} x^{4} + 4\right)} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}}}{24 \, c^{4} x}"," ",0,"1/24*(3*sqrt(2)*c*x*arctan((c^4*x^4 - 1)*sqrt(c^2*x^2/(c^4*x^4 - 1))/(c*x)) + sqrt(2)*(c^8*x^8 - 5*c^4*x^4 + 4)*sqrt(c^2*x^2/(c^4*x^4 - 1)))/(c^4*x)","A",0
150,0,0,0,0.428780," ","integrate(x/csch(2*log(c*x))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x}{\operatorname{csch}\left(2 \, \log\left(c x\right)\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral(x/csch(2*log(c*x))^(3/2), x)","F",0
151,1,106,0,0.491545," ","integrate(1/csch(2*log(c*x))^(3/2),x, algorithm=""fricas"")","\frac{3 \, \sqrt{2} c^{3} x^{3} \log\left(2 \, c^{4} x^{4} - 2 \, {\left(c^{5} x^{5} - c x\right)} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}} - 1\right) + 2 \, \sqrt{2} {\left(c^{8} x^{8} + c^{4} x^{4} - 2\right)} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}}}{32 \, c^{4} x^{3}}"," ",0,"1/32*(3*sqrt(2)*c^3*x^3*log(2*c^4*x^4 - 2*(c^5*x^5 - c*x)*sqrt(c^2*x^2/(c^4*x^4 - 1)) - 1) + 2*sqrt(2)*(c^8*x^8 + c^4*x^4 - 2)*sqrt(c^2*x^2/(c^4*x^4 - 1)))/(c^4*x^3)","A",0
152,0,0,0,1.306206," ","integrate(csch(2*log(c*x))^(3/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(2 \, \log\left(c x\right)\right)^{\frac{3}{2}}}{x}, x\right)"," ",0,"integral(csch(2*log(c*x))^(3/2)/x, x)","F",0
153,1,29,0,0.472772," ","integrate(csch(2*log(c*x))^(3/2)/x^2,x, algorithm=""fricas"")","-\sqrt{2} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}} c^{2} x"," ",0,"-sqrt(2)*sqrt(c^2*x^2/(c^4*x^4 - 1))*c^2*x","A",0
154,0,0,0,0.490664," ","integrate(csch(2*log(c*x))^(3/2)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(2 \, \log\left(c x\right)\right)^{\frac{3}{2}}}{x^{3}}, x\right)"," ",0,"integral(csch(2*log(c*x))^(3/2)/x^3, x)","F",0
155,1,78,0,0.730006," ","integrate(csch(2*log(c*x))^(3/2)/x^4,x, algorithm=""fricas"")","-\frac{\sqrt{2} c^{3} x \arctan\left(\frac{{\left(c^{4} x^{4} - 1\right)} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}}}{c x}\right) + \sqrt{2} \sqrt{\frac{c^{2} x^{2}}{c^{4} x^{4} - 1}} c^{2}}{x}"," ",0,"-(sqrt(2)*c^3*x*arctan((c^4*x^4 - 1)*sqrt(c^2*x^2/(c^4*x^4 - 1))/(c*x)) + sqrt(2)*sqrt(c^2*x^2/(c^4*x^4 - 1))*c^2)/x","A",0
156,0,0,0,0.462805," ","integrate(csch(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(\operatorname{csch}\left(b \log\left(c x^{n}\right) + a\right), x\right)"," ",0,"integral(csch(b*log(c*x^n) + a), x)","F",0
157,0,0,0,0.493106," ","integrate(csch(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\operatorname{csch}\left(b \log\left(c x^{n}\right) + a\right)^{2}, x\right)"," ",0,"integral(csch(b*log(c*x^n) + a)^2, x)","F",0
158,0,0,0,0.716184," ","integrate(csch(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","{\rm integral}\left(\operatorname{csch}\left(b \log\left(c x^{n}\right) + a\right)^{3}, x\right)"," ",0,"integral(csch(b*log(c*x^n) + a)^3, x)","F",0
159,0,0,0,0.478252," ","integrate(csch(a+b*log(c*x^n))^4,x, algorithm=""fricas"")","{\rm integral}\left(\operatorname{csch}\left(b \log\left(c x^{n}\right) + a\right)^{4}, x\right)"," ",0,"integral(csch(b*log(c*x^n) + a)^4, x)","F",0
160,1,187,0,1.575708," ","integrate(-(-b^2*n^2+1)*csch(a+b*log(c*x^n))+2*b^2*n^2*csch(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","-\frac{2 \, {\left({\left(b n + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, {\left(b n + 1\right)} x \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + {\left(b n + 1\right)} x \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(b n - 1\right)} x\right)}}{\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}"," ",0,"-2*((b*n + 1)*x*cosh(b*n*log(x) + b*log(c) + a)^2 + 2*(b*n + 1)*x*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + (b*n + 1)*x*sinh(b*n*log(x) + b*log(c) + a)^2 + (b*n - 1)*x)/(cosh(b*n*log(x) + b*log(c) + a)^3 + 3*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^2 + sinh(b*n*log(x) + b*log(c) + a)^3 + 3*(cosh(b*n*log(x) + b*log(c) + a)^2 - 1)*sinh(b*n*log(x) + b*log(c) + a) - cosh(b*n*log(x) + b*log(c) + a))","B",0
161,1,48,0,0.585151," ","integrate(csch(a+2*log(c*x^(1/2)))^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, c^{4} x^{2} e^{\left(2 \, a\right)} - 1\right)}}{c^{10} x^{4} e^{\left(5 \, a\right)} - 2 \, c^{6} x^{2} e^{\left(3 \, a\right)} + c^{2} e^{a}}"," ",0,"-2*(2*c^4*x^2*e^(2*a) - 1)/(c^10*x^4*e^(5*a) - 2*c^6*x^2*e^(3*a) + c^2*e^a)","A",0
162,1,49,0,0.408702," ","integrate(csch(a+2*log(c/x^(1/2)))^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(c^{10} e^{\left(5 \, a\right)} - 2 \, c^{6} x^{2} e^{\left(3 \, a\right)}\right)}}{c^{8} e^{\left(4 \, a\right)} - 2 \, c^{4} x^{2} e^{\left(2 \, a\right)} + x^{4}}"," ",0,"-2*(c^10*e^(5*a) - 2*c^6*x^2*e^(3*a))/(c^8*e^(4*a) - 2*c^4*x^2*e^(2*a) + x^4)","A",0
163,1,475,0,0.487368," ","integrate(csch(a+log(c*x^n)/n/(-2+p))^p,x, algorithm=""fricas"")","-\frac{{\left(p - 2\right)} x \cosh\left(p \log\left(\frac{2 \, {\left(\cosh\left(\frac{a n p - 2 \, a n + n \log\left(x\right) + \log\left(c\right)}{n p - 2 \, n}\right) + \sinh\left(\frac{a n p - 2 \, a n + n \log\left(x\right) + \log\left(c\right)}{n p - 2 \, n}\right)\right)}}{\cosh\left(\frac{a n p - 2 \, a n + n \log\left(x\right) + \log\left(c\right)}{n p - 2 \, n}\right)^{2} + 2 \, \cosh\left(\frac{a n p - 2 \, a n + n \log\left(x\right) + \log\left(c\right)}{n p - 2 \, n}\right) \sinh\left(\frac{a n p - 2 \, a n + n \log\left(x\right) + \log\left(c\right)}{n p - 2 \, n}\right) + \sinh\left(\frac{a n p - 2 \, a n + n \log\left(x\right) + \log\left(c\right)}{n p - 2 \, n}\right)^{2} - 1}\right)\right) \sinh\left(\frac{a n p - 2 \, a n + n \log\left(x\right) + \log\left(c\right)}{n p - 2 \, n}\right) + {\left(p - 2\right)} x \sinh\left(p \log\left(\frac{2 \, {\left(\cosh\left(\frac{a n p - 2 \, a n + n \log\left(x\right) + \log\left(c\right)}{n p - 2 \, n}\right) + \sinh\left(\frac{a n p - 2 \, a n + n \log\left(x\right) + \log\left(c\right)}{n p - 2 \, n}\right)\right)}}{\cosh\left(\frac{a n p - 2 \, a n + n \log\left(x\right) + \log\left(c\right)}{n p - 2 \, n}\right)^{2} + 2 \, \cosh\left(\frac{a n p - 2 \, a n + n \log\left(x\right) + \log\left(c\right)}{n p - 2 \, n}\right) \sinh\left(\frac{a n p - 2 \, a n + n \log\left(x\right) + \log\left(c\right)}{n p - 2 \, n}\right) + \sinh\left(\frac{a n p - 2 \, a n + n \log\left(x\right) + \log\left(c\right)}{n p - 2 \, n}\right)^{2} - 1}\right)\right) \sinh\left(\frac{a n p - 2 \, a n + n \log\left(x\right) + \log\left(c\right)}{n p - 2 \, n}\right)}{{\left(p - 1\right)} \cosh\left(\frac{a n p - 2 \, a n + n \log\left(x\right) + \log\left(c\right)}{n p - 2 \, n}\right) - {\left(p - 1\right)} \sinh\left(\frac{a n p - 2 \, a n + n \log\left(x\right) + \log\left(c\right)}{n p - 2 \, n}\right)}"," ",0,"-((p - 2)*x*cosh(p*log(2*(cosh((a*n*p - 2*a*n + n*log(x) + log(c))/(n*p - 2*n)) + sinh((a*n*p - 2*a*n + n*log(x) + log(c))/(n*p - 2*n)))/(cosh((a*n*p - 2*a*n + n*log(x) + log(c))/(n*p - 2*n))^2 + 2*cosh((a*n*p - 2*a*n + n*log(x) + log(c))/(n*p - 2*n))*sinh((a*n*p - 2*a*n + n*log(x) + log(c))/(n*p - 2*n)) + sinh((a*n*p - 2*a*n + n*log(x) + log(c))/(n*p - 2*n))^2 - 1)))*sinh((a*n*p - 2*a*n + n*log(x) + log(c))/(n*p - 2*n)) + (p - 2)*x*sinh(p*log(2*(cosh((a*n*p - 2*a*n + n*log(x) + log(c))/(n*p - 2*n)) + sinh((a*n*p - 2*a*n + n*log(x) + log(c))/(n*p - 2*n)))/(cosh((a*n*p - 2*a*n + n*log(x) + log(c))/(n*p - 2*n))^2 + 2*cosh((a*n*p - 2*a*n + n*log(x) + log(c))/(n*p - 2*n))*sinh((a*n*p - 2*a*n + n*log(x) + log(c))/(n*p - 2*n)) + sinh((a*n*p - 2*a*n + n*log(x) + log(c))/(n*p - 2*n))^2 - 1)))*sinh((a*n*p - 2*a*n + n*log(x) + log(c))/(n*p - 2*n)))/((p - 1)*cosh((a*n*p - 2*a*n + n*log(x) + log(c))/(n*p - 2*n)) - (p - 1)*sinh((a*n*p - 2*a*n + n*log(x) + log(c))/(n*p - 2*n)))","B",0
164,1,539,0,1.133246," ","integrate(csch(a-log(c*x^n)/n/(-2+p))^p,x, algorithm=""fricas"")","-\frac{{\left(p - 2\right)} x \cosh\left(p \log\left(-\frac{2 \, {\left(\cosh\left(-\frac{a n p - 2 \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right) + \sinh\left(-\frac{a n p - 2 \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right)\right)}}{\cosh\left(-\frac{a n p - 2 \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right)^{2} + 2 \, \cosh\left(-\frac{a n p - 2 \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right) \sinh\left(-\frac{a n p - 2 \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right) + \sinh\left(-\frac{a n p - 2 \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right)^{2} - 1}\right)\right) \sinh\left(-\frac{a n p - 2 \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right) + {\left(p - 2\right)} x \sinh\left(p \log\left(-\frac{2 \, {\left(\cosh\left(-\frac{a n p - 2 \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right) + \sinh\left(-\frac{a n p - 2 \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right)\right)}}{\cosh\left(-\frac{a n p - 2 \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right)^{2} + 2 \, \cosh\left(-\frac{a n p - 2 \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right) \sinh\left(-\frac{a n p - 2 \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right) + \sinh\left(-\frac{a n p - 2 \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right)^{2} - 1}\right)\right) \sinh\left(-\frac{a n p - 2 \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right)}{{\left(p - 1\right)} \cosh\left(-\frac{a n p - 2 \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right) - {\left(p - 1\right)} \sinh\left(-\frac{a n p - 2 \, a n - n \log\left(x\right) - \log\left(c\right)}{n p - 2 \, n}\right)}"," ",0,"-((p - 2)*x*cosh(p*log(-2*(cosh(-(a*n*p - 2*a*n - n*log(x) - log(c))/(n*p - 2*n)) + sinh(-(a*n*p - 2*a*n - n*log(x) - log(c))/(n*p - 2*n)))/(cosh(-(a*n*p - 2*a*n - n*log(x) - log(c))/(n*p - 2*n))^2 + 2*cosh(-(a*n*p - 2*a*n - n*log(x) - log(c))/(n*p - 2*n))*sinh(-(a*n*p - 2*a*n - n*log(x) - log(c))/(n*p - 2*n)) + sinh(-(a*n*p - 2*a*n - n*log(x) - log(c))/(n*p - 2*n))^2 - 1)))*sinh(-(a*n*p - 2*a*n - n*log(x) - log(c))/(n*p - 2*n)) + (p - 2)*x*sinh(p*log(-2*(cosh(-(a*n*p - 2*a*n - n*log(x) - log(c))/(n*p - 2*n)) + sinh(-(a*n*p - 2*a*n - n*log(x) - log(c))/(n*p - 2*n)))/(cosh(-(a*n*p - 2*a*n - n*log(x) - log(c))/(n*p - 2*n))^2 + 2*cosh(-(a*n*p - 2*a*n - n*log(x) - log(c))/(n*p - 2*n))*sinh(-(a*n*p - 2*a*n - n*log(x) - log(c))/(n*p - 2*n)) + sinh(-(a*n*p - 2*a*n - n*log(x) - log(c))/(n*p - 2*n))^2 - 1)))*sinh(-(a*n*p - 2*a*n - n*log(x) - log(c))/(n*p - 2*n)))/((p - 1)*cosh(-(a*n*p - 2*a*n - n*log(x) - log(c))/(n*p - 2*n)) - (p - 1)*sinh(-(a*n*p - 2*a*n - n*log(x) - log(c))/(n*p - 2*n)))","B",0
165,1,65,0,0.602852," ","integrate(csch(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","-\frac{\log\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 1\right) - \log\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - 1\right)}{b n}"," ",0,"-(log(cosh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a) + 1) - log(cosh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a) - 1))/(b*n)","B",0
166,1,71,0,0.676682," ","integrate(csch(a+b*log(c*x^n))^2/x,x, algorithm=""fricas"")","-\frac{2}{b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + b n \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - b n}"," ",0,"-2/(b*n*cosh(b*n*log(x) + b*log(c) + a)^2 + 2*b*n*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a) + b*n*sinh(b*n*log(x) + b*log(c) + a)^2 - b*n)","B",0
167,1,643,0,1.349419," ","integrate(csch(a+b*log(c*x^n))^3/x,x, algorithm=""fricas"")","-\frac{2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 6 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 4 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 2 \, {\left(3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 4 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 1\right)} \log\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 1\right) + {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 4 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 2 \, {\left(3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 4 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 1\right)} \log\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - 1\right) + 2 \, {\left(3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 2 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{2 \, {\left(b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 4 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + b n \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} - 2 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 2 \, {\left(3 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - b n\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + b n + 4 \, {\left(b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)}}"," ",0,"-1/2*(2*cosh(b*n*log(x) + b*log(c) + a)^3 + 6*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^2 + 2*sinh(b*n*log(x) + b*log(c) + a)^3 - (cosh(b*n*log(x) + b*log(c) + a)^4 + 4*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^3 + sinh(b*n*log(x) + b*log(c) + a)^4 + 2*(3*cosh(b*n*log(x) + b*log(c) + a)^2 - 1)*sinh(b*n*log(x) + b*log(c) + a)^2 - 2*cosh(b*n*log(x) + b*log(c) + a)^2 + 4*(cosh(b*n*log(x) + b*log(c) + a)^3 - cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a) + 1)*log(cosh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a) + 1) + (cosh(b*n*log(x) + b*log(c) + a)^4 + 4*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^3 + sinh(b*n*log(x) + b*log(c) + a)^4 + 2*(3*cosh(b*n*log(x) + b*log(c) + a)^2 - 1)*sinh(b*n*log(x) + b*log(c) + a)^2 - 2*cosh(b*n*log(x) + b*log(c) + a)^2 + 4*(cosh(b*n*log(x) + b*log(c) + a)^3 - cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a) + 1)*log(cosh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a) - 1) + 2*(3*cosh(b*n*log(x) + b*log(c) + a)^2 + 1)*sinh(b*n*log(x) + b*log(c) + a) + 2*cosh(b*n*log(x) + b*log(c) + a))/(b*n*cosh(b*n*log(x) + b*log(c) + a)^4 + 4*b*n*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^3 + b*n*sinh(b*n*log(x) + b*log(c) + a)^4 - 2*b*n*cosh(b*n*log(x) + b*log(c) + a)^2 + 2*(3*b*n*cosh(b*n*log(x) + b*log(c) + a)^2 - b*n)*sinh(b*n*log(x) + b*log(c) + a)^2 + b*n + 4*(b*n*cosh(b*n*log(x) + b*log(c) + a)^3 - b*n*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a))","B",0
168,1,272,0,0.440755," ","integrate(csch(a+b*log(c*x^n))^4/x,x, algorithm=""fricas"")","-\frac{8 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 2 \, \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)}}{3 \, {\left(b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + 5 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + b n \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} - 3 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + {\left(10 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 3 \, b n\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 2 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + {\left(10 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 9 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + {\left(5 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} - 9 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 4 \, b n\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)}}"," ",0,"-8/3*(cosh(b*n*log(x) + b*log(c) + a) + 2*sinh(b*n*log(x) + b*log(c) + a))/(b*n*cosh(b*n*log(x) + b*log(c) + a)^5 + 5*b*n*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^4 + b*n*sinh(b*n*log(x) + b*log(c) + a)^5 - 3*b*n*cosh(b*n*log(x) + b*log(c) + a)^3 + (10*b*n*cosh(b*n*log(x) + b*log(c) + a)^2 - 3*b*n)*sinh(b*n*log(x) + b*log(c) + a)^3 + 2*b*n*cosh(b*n*log(x) + b*log(c) + a) + (10*b*n*cosh(b*n*log(x) + b*log(c) + a)^3 - 9*b*n*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a)^2 + (5*b*n*cosh(b*n*log(x) + b*log(c) + a)^4 - 9*b*n*cosh(b*n*log(x) + b*log(c) + a)^2 + 4*b*n)*sinh(b*n*log(x) + b*log(c) + a))","B",0
169,1,1806,0,0.512761," ","integrate(csch(a+b*log(c*x^n))^5/x,x, algorithm=""fricas"")","\frac{6 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{7} + 42 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} + 6 \, \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{7} + 2 \, {\left(63 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 11\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} - 22 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + 10 \, {\left(21 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 11 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 2 \, {\left(105 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} - 110 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 11\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 22 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 2 \, {\left(63 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} - 110 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 33 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 3 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{8} + 8 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{7} + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{8} + 4 \, {\left(7 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} - 4 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} + 8 \, {\left(7 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + 2 \, {\left(35 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} - 30 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 3\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 6 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} - 10 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} - 15 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 9 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 4 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 8 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{7} - 3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + 3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 1\right)} \log\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 1\right) + 3 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{8} + 8 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{7} + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{8} + 4 \, {\left(7 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} - 4 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} + 8 \, {\left(7 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + 2 \, {\left(35 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} - 30 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 3\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 6 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 8 \, {\left(7 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} - 10 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 4 \, {\left(7 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} - 15 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 9 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 1\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - 4 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 8 \, {\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{7} - 3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + 3 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 1\right)} \log\left(\cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) - 1\right) + 2 \, {\left(21 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} - 55 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} - 33 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 3\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) + 6 \, \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}{8 \, {\left(b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{8} + 8 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right) \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{7} + b n \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{8} - 4 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} + 4 \, {\left(7 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - b n\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} + 6 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 8 \, {\left(7 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - 3 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + 2 \, {\left(35 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} - 30 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 3 \, b n\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} - 4 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + 8 \, {\left(7 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} - 10 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 3 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} + 4 \, {\left(7 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{6} - 15 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{4} + 9 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} - b n\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{2} + b n + 8 \, {\left(b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{7} - 3 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{5} + 3 \, b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)^{3} - b n \cosh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)} \sinh\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)\right)}}"," ",0,"1/8*(6*cosh(b*n*log(x) + b*log(c) + a)^7 + 42*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^6 + 6*sinh(b*n*log(x) + b*log(c) + a)^7 + 2*(63*cosh(b*n*log(x) + b*log(c) + a)^2 - 11)*sinh(b*n*log(x) + b*log(c) + a)^5 - 22*cosh(b*n*log(x) + b*log(c) + a)^5 + 10*(21*cosh(b*n*log(x) + b*log(c) + a)^3 - 11*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a)^4 + 2*(105*cosh(b*n*log(x) + b*log(c) + a)^4 - 110*cosh(b*n*log(x) + b*log(c) + a)^2 - 11)*sinh(b*n*log(x) + b*log(c) + a)^3 - 22*cosh(b*n*log(x) + b*log(c) + a)^3 + 2*(63*cosh(b*n*log(x) + b*log(c) + a)^5 - 110*cosh(b*n*log(x) + b*log(c) + a)^3 - 33*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a)^2 - 3*(cosh(b*n*log(x) + b*log(c) + a)^8 + 8*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^7 + sinh(b*n*log(x) + b*log(c) + a)^8 + 4*(7*cosh(b*n*log(x) + b*log(c) + a)^2 - 1)*sinh(b*n*log(x) + b*log(c) + a)^6 - 4*cosh(b*n*log(x) + b*log(c) + a)^6 + 8*(7*cosh(b*n*log(x) + b*log(c) + a)^3 - 3*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a)^5 + 2*(35*cosh(b*n*log(x) + b*log(c) + a)^4 - 30*cosh(b*n*log(x) + b*log(c) + a)^2 + 3)*sinh(b*n*log(x) + b*log(c) + a)^4 + 6*cosh(b*n*log(x) + b*log(c) + a)^4 + 8*(7*cosh(b*n*log(x) + b*log(c) + a)^5 - 10*cosh(b*n*log(x) + b*log(c) + a)^3 + 3*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a)^3 + 4*(7*cosh(b*n*log(x) + b*log(c) + a)^6 - 15*cosh(b*n*log(x) + b*log(c) + a)^4 + 9*cosh(b*n*log(x) + b*log(c) + a)^2 - 1)*sinh(b*n*log(x) + b*log(c) + a)^2 - 4*cosh(b*n*log(x) + b*log(c) + a)^2 + 8*(cosh(b*n*log(x) + b*log(c) + a)^7 - 3*cosh(b*n*log(x) + b*log(c) + a)^5 + 3*cosh(b*n*log(x) + b*log(c) + a)^3 - cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a) + 1)*log(cosh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a) + 1) + 3*(cosh(b*n*log(x) + b*log(c) + a)^8 + 8*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^7 + sinh(b*n*log(x) + b*log(c) + a)^8 + 4*(7*cosh(b*n*log(x) + b*log(c) + a)^2 - 1)*sinh(b*n*log(x) + b*log(c) + a)^6 - 4*cosh(b*n*log(x) + b*log(c) + a)^6 + 8*(7*cosh(b*n*log(x) + b*log(c) + a)^3 - 3*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a)^5 + 2*(35*cosh(b*n*log(x) + b*log(c) + a)^4 - 30*cosh(b*n*log(x) + b*log(c) + a)^2 + 3)*sinh(b*n*log(x) + b*log(c) + a)^4 + 6*cosh(b*n*log(x) + b*log(c) + a)^4 + 8*(7*cosh(b*n*log(x) + b*log(c) + a)^5 - 10*cosh(b*n*log(x) + b*log(c) + a)^3 + 3*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a)^3 + 4*(7*cosh(b*n*log(x) + b*log(c) + a)^6 - 15*cosh(b*n*log(x) + b*log(c) + a)^4 + 9*cosh(b*n*log(x) + b*log(c) + a)^2 - 1)*sinh(b*n*log(x) + b*log(c) + a)^2 - 4*cosh(b*n*log(x) + b*log(c) + a)^2 + 8*(cosh(b*n*log(x) + b*log(c) + a)^7 - 3*cosh(b*n*log(x) + b*log(c) + a)^5 + 3*cosh(b*n*log(x) + b*log(c) + a)^3 - cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a) + 1)*log(cosh(b*n*log(x) + b*log(c) + a) + sinh(b*n*log(x) + b*log(c) + a) - 1) + 2*(21*cosh(b*n*log(x) + b*log(c) + a)^6 - 55*cosh(b*n*log(x) + b*log(c) + a)^4 - 33*cosh(b*n*log(x) + b*log(c) + a)^2 + 3)*sinh(b*n*log(x) + b*log(c) + a) + 6*cosh(b*n*log(x) + b*log(c) + a))/(b*n*cosh(b*n*log(x) + b*log(c) + a)^8 + 8*b*n*cosh(b*n*log(x) + b*log(c) + a)*sinh(b*n*log(x) + b*log(c) + a)^7 + b*n*sinh(b*n*log(x) + b*log(c) + a)^8 - 4*b*n*cosh(b*n*log(x) + b*log(c) + a)^6 + 4*(7*b*n*cosh(b*n*log(x) + b*log(c) + a)^2 - b*n)*sinh(b*n*log(x) + b*log(c) + a)^6 + 6*b*n*cosh(b*n*log(x) + b*log(c) + a)^4 + 8*(7*b*n*cosh(b*n*log(x) + b*log(c) + a)^3 - 3*b*n*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a)^5 + 2*(35*b*n*cosh(b*n*log(x) + b*log(c) + a)^4 - 30*b*n*cosh(b*n*log(x) + b*log(c) + a)^2 + 3*b*n)*sinh(b*n*log(x) + b*log(c) + a)^4 - 4*b*n*cosh(b*n*log(x) + b*log(c) + a)^2 + 8*(7*b*n*cosh(b*n*log(x) + b*log(c) + a)^5 - 10*b*n*cosh(b*n*log(x) + b*log(c) + a)^3 + 3*b*n*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a)^3 + 4*(7*b*n*cosh(b*n*log(x) + b*log(c) + a)^6 - 15*b*n*cosh(b*n*log(x) + b*log(c) + a)^4 + 9*b*n*cosh(b*n*log(x) + b*log(c) + a)^2 - b*n)*sinh(b*n*log(x) + b*log(c) + a)^2 + b*n + 8*(b*n*cosh(b*n*log(x) + b*log(c) + a)^7 - 3*b*n*cosh(b*n*log(x) + b*log(c) + a)^5 + 3*b*n*cosh(b*n*log(x) + b*log(c) + a)^3 - b*n*cosh(b*n*log(x) + b*log(c) + a))*sinh(b*n*log(x) + b*log(c) + a))","B",0
170,0,0,0,0.408287," ","integrate(csch(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}{x}, x\right)"," ",0,"integral(csch(b*log(c*x^n) + a)^(5/2)/x, x)","F",0
171,0,0,0,0.478337," ","integrate(csch(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\operatorname{csch}\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x}, x\right)"," ",0,"integral(csch(b*log(c*x^n) + a)^(3/2)/x, x)","F",0
172,0,0,0,0.431632," ","integrate(csch(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{\operatorname{csch}\left(b \log\left(c x^{n}\right) + a\right)}}{x}, x\right)"," ",0,"integral(sqrt(csch(b*log(c*x^n) + a))/x, x)","F",0
173,0,0,0,0.460102," ","integrate(1/x/csch(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \sqrt{\operatorname{csch}\left(b \log\left(c x^{n}\right) + a\right)}}, x\right)"," ",0,"integral(1/(x*sqrt(csch(b*log(c*x^n) + a))), x)","F",0
174,0,0,0,0.447691," ","integrate(1/x/csch(a+b*log(c*x^n))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \operatorname{csch}\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral(1/(x*csch(b*log(c*x^n) + a)^(3/2)), x)","F",0
175,0,0,0,0.453428," ","integrate(1/x/csch(a+b*log(c*x^n))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{x \operatorname{csch}\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}, x\right)"," ",0,"integral(1/(x*csch(b*log(c*x^n) + a)^(5/2)), x)","F",0
